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Question 1190018: TRIGONOMETRY
A. Determine the amplitude and period of the following function.
1. y = 1/3cosx
B. Determine the Period, amplitude, phase shift and vertical shift of the following function.
1. y = 2cos3x-1/2
C. Graph
1. h(x) = 2sin(x+π/3)+1

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Question 1190021: Prove the following identities:
sin^4 x - sin^2 x = cos^4 x - cos^2 x

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Question 1190020: Prove the following identities:
(1 + tan x - secx) (1 + cot x + cosec x) = 2

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Question 1190014: Given that x=2sinθ -3 and y =2cosθ +1, show that (x+3)^2 + (y-1)^2 = 4.
Click here to see answer by Boreal(15235) About Me 

Question 1190157: the international links long distance phone company charges no monthly fee but charges 18 cents per minute for long-distance calls. The World Connections long distance company charges 50 dollars per month plus 10 cents per minute for long distance calls. Compare the World Connections long-distance plan to that of International Links. Under what circumstances is it cheaper to use International Links?
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Question 1190179: The equal sides of the isosceles triangle are each 7.7 cm, correct to the nearest millimetre.The perimeter is 21.7 cm, also correct to the nearest millimetre.Calculate the smallestpossible length of the third side of the triangle. Show your working
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Question 1190218: The length of the longer leg of a right triangle is 4 ft more than twice the
length of the shorter leg. The length of the hypotenuse is of more than
twice the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg:
Length of the longer leg:
Length of the hypotenuse:

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Question 1190218: The length of the longer leg of a right triangle is 4 ft more than twice the
length of the shorter leg. The length of the hypotenuse is of more than
twice the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg:
Length of the longer leg:
Length of the hypotenuse:

Click here to see answer by josgarithmetic(39613) About Me 

Question 1190220: A translation maps the point A (3, 6) onto D (12, 6).
Write down the column vector that represents this translation.

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Question 1190226: The length of the longer leg of a right triangle is 4 ft more than twice the length of the shorter leg. The length of the hypotenuse is of more than twice the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg ?
Length of the longer leg
Length of the hypotenuse ?

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Question 1190221: Using a graph with y ranging from -3 to 8 and y from -5 to 3,
a. Plot and label the points A(-2, -1), B (5, 3) and C(7, -4),
b. Draw the line of x = 3,
c. Reflect A, B and C onto A', B' and C' in the line x = 3.

Click here to see answer by Alan3354(69443) About Me 
Question 1190221: Using a graph with y ranging from -3 to 8 and y from -5 to 3,
a. Plot and label the points A(-2, -1), B (5, 3) and C(7, -4),
b. Draw the line of x = 3,
c. Reflect A, B and C onto A', B' and C' in the line x = 3.

Click here to see answer by Solver92311(821) About Me 

Question 1190219: Under a translation, the image of the point (2, 8) is (5, 5).
a. Write down the translation vector of the transformation.
b. Under this translation, find the image of the point (6, -2).
c. Find the points A and B if their image are (0, 1) and (4, -2) respectively.

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Question 1190256: Find the values of x,where 0° < x < 180° such that |2cos x + 3sin x| = sin x
Click here to see answer by ikleyn(52747) About Me 

Question 1190281: Find the values of x,where 0° < x < 180° such that 2cos^2 x + sin 20° = 1.
Click here to see answer by ikleyn(52747) About Me 

Question 1190285: what 2 numbers add up to give you -13 and multiply to give you -48

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Question 1190283: Find the values of x, where 0° < x <180° such that sin(3x+70°) = 0.2
Click here to see answer by MathLover1(20849) About Me 

Question 1190346: The cost of a pair of pants at a certain store is 130% of the cost of a pair of shorts. A pair of shorts costs $15. What is the cost of 3 pairs of pants?
Click here to see answer by Alan3354(69443) About Me 

Question 1190282: Find the values of x, where 0 < x < 2π , which satisfy sec(x - π/6) = 3
Click here to see answer by MathLover1(20849) About Me 

Question 1190280: Find all the angles of x for 0° < x < 360° which satisfy cot(2x+10°) = -0.5
Click here to see answer by MathLover1(20849) About Me 

Question 1190279: Solve 3cos(x+40°) = 4sin(x+40°) for 0° ≤ x ≤ 360°
Click here to see answer by MathLover1(20849) About Me 
Question 1190279: Solve 3cos(x+40°) = 4sin(x+40°) for 0° ≤ x ≤ 360°
Click here to see answer by ikleyn(52747) About Me 

Question 1190406: Sketch, on the same diagram, the graphs of y =4sin2x and y =2cosx-1 for 0° ≤ x ≤ 360°. How many
solutions are there in this interval such that 4sin2x+1=2cosx?

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Question 1190459: MATH 10
PERFORMANCE TASK NO.2
DIRECTION:
Gwen the length of the sides of the quadrilateral STUV with vertices S (-1,4), T (2,1), U (3,-5) and V (-4,1)
1. Plot the given points in the cartesian plane to identify which pair of points are the endpoints of every side. (Use a graphing paper).
2. Find the length / distance of each side of the quadrilateral.
(3. Find the perimeter of the given quadrilateral.

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Question 1190407: Draw, on separate diagrams, the following graphs for the interval 0 ≤ x ≤ π. For each function,
write down the amplitude, the period and the coordinates of the maximum and minimum points.
a) y = 1 + sin 2x
b) y = 3 cos1/2x

Click here to see answer by MathLover1(20849) About Me 
Question 1190407: Draw, on separate diagrams, the following graphs for the interval 0 ≤ x ≤ π. For each function,
write down the amplitude, the period and the coordinates of the maximum and minimum points.
a) y = 1 + sin 2x
b) y = 3 cos1/2x

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Question 1190471: Draw, on the same diagram, the graphs of y =4sin2x and y =2cosx-1 for 0° ≤ x ≤ 360°. How many
solutions are there in this interval such that 4sin2x+1=2cosx?''.

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Question 1190472: Draw, on the same diagram, the graphs of y =4sin2x and y =2cosx-1 for 0° ≤ x ≤ 360°. How many
solutions are there in this interval such that 4sin2x+1=2cosx?

Click here to see answer by Alan3354(69443) About Me 

Question 1190499: 1)
a) write 1/x-3 - 1/x as single fraction in its simplest form
b) use your answer to part a to make y the subject of the formula 1/y=1/x-3-1/x

2)
write 2x-10x/5-x as single fraction

3)
simplify x(power 2 ) -5x/2x(power 2) -11x+5
4)
a) write down the value of x -1,x0,x1/2(all of the numbers are power x)and x power 2 when x =1/4
5)
factorize completly 6xpower 2 +6x
b) factorize 6xpower2 +5x +!
6)
9999=10power4 -1 . write 9999 as product of prime factor
7) simplify 4x-3/8 - 3x-4/12
8) simplify 3x+4/xpower2 +x-6 - 1/x+3

9) solve the equations 3x+17=21-5x
10)
it is given c=2(pie symbol.)r and A=(pie symbol.)rpower2
express a in terms of c and (pie symbol.) giving ur answer in simplest form


GUYS THIS TEST SO PLS HELP FAST AND BY THE WAY (PIESYMBOL)COULDN'T WRITE IT SO I
WROTE IT AS PIE SYMBOL AND THE / MEANS FRACTION OR OVER FOR E.G 1/X+1 MEANS 1 OVER X_1

Click here to see answer by Alan3354(69443) About Me 

Question 1190555: Calculate the gradient of the curve for y = x^2 - 2x at the point where y = -1.
Click here to see answer by ikleyn(52747) About Me 

Question 1190556: The curve y = ax^2 + bx has gradient 8 when x = 2 and has gradient -10 when x = -1. Find the value of
a and the value of b.

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Question 1190557: 6) Given the curve y = x^3 - 3x^2 - 9x+11, find dy/dx.Hence obtain
a) the x-coordinates of the points where the gradient is 15,
b) the coordinates of the points where the gradient is zero.

Click here to see answer by Alan3354(69443) About Me 
Question 1190557: 6) Given the curve y = x^3 - 3x^2 - 9x+11, find dy/dx.Hence obtain
a) the x-coordinates of the points where the gradient is 15,
b) the coordinates of the points where the gradient is zero.

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Question 1190554: Find the value of f′(x) at the given value of x.
a) f(x) = 3x - 4√x,x = 4
b) f(x) = (x-4)(x+3),x = 3

Click here to see answer by Theo(13342) About Me 

Question 1190586: B
$9.00
C
$10.50
D
E
$19.95
$P
A. $8.00
B. $9.00
C. $10.50
D. $19.95
E. I don't know.

Click here to see answer by ikleyn(52747) About Me 

Question 1190553: Find dy/dx for the following functions of x.
a) 4x^2(3-√x)
b)(1-x)(4x-1)/√x

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Question 1190638: 1. How many 4 - digit numbers can be formed from 0, 1, 2, 3, 4, 5, if:
a. there are no restrictions?
b. the digits cannot be repeated?
c. the numbers formed are even?
d. the numbers formed are less than 5000?
e. the numbers formed are odd and less than 5000?
f. the digits in c to e cannot be repeated?
Show full solution. Thank you!

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Question 1190675: f=9/5c+32
solve the equations the answer is -40 I don't know how ?

Click here to see answer by greenestamps(13195) About Me 
Question 1190675: f=9/5c+32
solve the equations the answer is -40 I don't know how ?

Click here to see answer by Alan3354(69443) About Me 

Question 1190801: Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at the point where x = 3.
Click here to see answer by Alan3354(69443) About Me 

Question 1190799: Find the gradient of the curve y = x + 4/x-5 at the points where the curve crosses the x-axis.
Click here to see answer by Alan3354(69443) About Me 

Question 1190800: Differentiate the following with the respect of x.
a) (2-√x)^6
b) 1/(1-1/x)^3
c)1/2(3x-2)^2

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Question 1190800: Differentiate the following with the respect of x.
a) (2-√x)^6
b) 1/(1-1/x)^3
c)1/2(3x-2)^2

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Question 353943: Two cars start from two towns 400 miles apart and travel towards each other. They pass each other after 4 hours. Find the speed of each car if their difference between their speeds is 30 miles per hour.
Click here to see answer by slitco(2) About Me 
Question 353943: Two cars start from two towns 400 miles apart and travel towards each other. They pass each other after 4 hours. Find the speed of each car if their difference between their speeds is 30 miles per hour.
Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650