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Question 959220: Find exact Value of tan Beta/2, Given that tanBeta = square root 5/2 and pi < Beta < 3pi/2
So I think Beta/2 is in quadrant 3 making it positive but I tried square root of 5 as the answer and thats wrong please help!!!!

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Question 1158099: Please help me answer this question:
Simplify
sin ( - θ) sin (90θ + θ) - cos (180 θ - θ) cos (270 θ +θ).

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Question 1158051: if sec(t) = -5 and the terminal point of t is in quadrant iii, use the identity sin^2(t/2)=1-cos(t)/2 to find the exact value of (sin(t/2)+cos(t))
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Question 960664: determine if it is possible for a number t to satisfy the given conditions sint=5/13 and cost=12/13
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Question 961016: If sin A= -1/squareroot of 5 with A in QII, find sin 2A.
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Question 961016: If sin A= -1/squareroot of 5 with A in QII, find sin 2A.
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Question 962783: Use trigonometric identities to solve sin(theta)+(sqrt3)sin(theta)=0 exactly for 0 is less than or equal to theta which is less than 2pi;. If there is more than one answer, enter your answers as a comma separated list.
Thank you

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Question 963379: Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos 2u − cos u = 0

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Question 963649: Please solve this equation exactly.
sin(arccos(3/5) - arctan(5/12)) =

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Question 968978: if sine theta = -4/7 and is in quadrant 3, then the sum of sine theta + sine (theta-pie)+sine(2pie+theta) is?
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Question 969216: +g%28x%29+=+log_3%28%28x%2B6%29%2F2%29++
i. find the domain of g in interval form
ii. find the x-intercept(s) of the graph of g

(iii) In what quadrant does the terminal side of an angle of 5 radians lie? justify your answer
(iv) Find all solutions for the equation: +sqrt%283%29sec%284t%29+=+-2+
Thank you

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Question 1158028: determine the specified trigonometric ratio for each angle with a terminal side that passes through the given point.
1.Sin0; (-8,6)
2.csc0; (2,-1)
3.tan0;(0,1)
4.cos0; (-4,-2)

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Question 970477: Evaluate cos[arctan(-5/12)].
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Question 970477: Evaluate cos[arctan(-5/12)].
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Question 970567: Find all solutions on the interval (0,2pi)
Sec^2x - 2tanx =0

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Question 970565: Find all solutions on the interval (0,2pi)
12tan^2(x)=4

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Question 972189: the point (-3,3) is on the terminal is of an angle theta. find cos theta
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Question 1210628: Please help me to solve this equation. If sin p=3/5 and p is an acute angle, what is the value of tan p ?
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Question 1210628: Please help me to solve this equation. If sin p=3/5 and p is an acute angle, what is the value of tan p ?
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Question 1002716: hello, if I could have help with a problem.
I was a bit confused on this one.
question: find exact values of 6 trig function of angle 1575 degrees
so what I have done so far was I subtracted 1575 - 360 till I got a number in the unit circle. now when I did this I got 165.
Thank you

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Question 802600: I could use a little help with this math question for my ACT prep worksheets I've been working on. It is question 433 in my booklet:
Using a right triangle with an acute angle theta, find the other five trigonometric functions of theta if cos theta = 2/5 I am told not to use decimals in my answer.
I was hoping you could show me the answer and sort of a guide/process of how you got it, so I can be sure to really learn from it and make sure I "get it down" for future similar questions. Thank you for taking the time to answer my question, Reggie

Click here to see answer by MathTherapy(10839) About Me 

Question 60845: using the periodic properties of trigonometric functions, find the exact value of the expression:
tan 17pi

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Question 278282: Hello my teacher gave my class a worksheet with this problem:
The lengths of two sides of a parallelogram are 6 inches and 10 inches and the angle between them measures 41 degrees. What is the length of the altitude on the long side?
Thanks for any help.

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Question 264217: A ladder leaning against a house makes an angle of 30 degrees with the ground. the foot of the ladder is 7 feet from the foot of the house. How long is the ladder to the nearest foot?
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Question 1004151: you are standing at the top of a 500m tall building. across the street is a shorter building. at ground level, the two buildings are 50 meters apart, and if you measure the angle of depression from the top of your building to the nearest edge of the shorter building, you get an angle of pi/6. how tall is the other building?
a) 500 - 50 sqrt 2 meters
b) 500 - 50/sqrt 2 meters
c) 500 - 25/sqrt 2 meters
d) 500-50/sqrt 3 meters
e) 500 - 25 sqrt 2 meters
f) 500 - 50 sqrt 3 meters

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Question 1004151: you are standing at the top of a 500m tall building. across the street is a shorter building. at ground level, the two buildings are 50 meters apart, and if you measure the angle of depression from the top of your building to the nearest edge of the shorter building, you get an angle of pi/6. how tall is the other building?
a) 500 - 50 sqrt 2 meters
b) 500 - 50/sqrt 2 meters
c) 500 - 25/sqrt 2 meters
d) 500-50/sqrt 3 meters
e) 500 - 25 sqrt 2 meters
f) 500 - 50 sqrt 3 meters

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Question 1026266: Assume that a is an angle in standard position whose terminal side contains the point (sqrt 6, -sqrt 2). Find the exact values of the 6 trig. functions

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Question 890524: My question was log of sqrt (x (sqrt (2y (sqrt (z))))
What I did was (1/2)logx sqrt (2y (sqrt (z))
(1/2)logx(1/4)logy^2 sqrt (z)
(1/2)logx(1/4)logy^2(1/8)logz
Then factored that to (1/2)[logx(1/2)logy^2(1/4)logz]
But my professor counted it as wrong and I hope it's not too confusing the way that I typed it but the formula system wouldn't work for me. I just wanted to see where I went wrong with this question. Thank you!

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Question 667117: Use an Addition or Subtraction Formula to find the exact value of the expression.
sin( -5π/12)

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Question 667117: Use an Addition or Subtraction Formula to find the exact value of the expression.
sin( -5π/12)

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Question 1028370: Use a product-to-sum formula to find the exact value of the expression. Do not use a calculator.
cos 5π/12 sin π/12

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Question 1114896: Given: cos (-105)
Find the exact value of the function without the use of a calculator.
I was unsure what to do with a negative, but from examples, I did the following where it "ignores" the negative.
cos (105) = cos (135 - 30)
+cos+%28135%29+cos+%2830%29+%2B+sin+%28135%29+sin+%2830%29+
+%28-sqrt%282%29%2F2%29%28sqrt%283%29%2F2%29+%2B+%28sqrt%282%29%2F2%29%281%2F2%29+
+%28-sqrt%286%29%2F4%29%2B+%28sqrt%282%29%2F4%29+
Final Answer: +%28sqrt%282%29-sqrt%286%29%29+%2F+%284%29+
If the final answer is right, why does the (-) go away and if that procedure is incorrect how would you split up the -105? Thank you for any help!

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Question 455264: Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)
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Question 1164806: Solve for theta:sin-sec+csn-tan2=-0.0866
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Question 1159153: Alayna is trying to determine the angle at which to aim her sprinkler nozzle to water the top of a 5 ft bush in her yard. Assuming the water takes a straight path and the sprinkler is on the ground 4 ft from the bush, at what angle of inclination should she set it?
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Question 1205048: a hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. the hawk swoops down toward the mouse at an angle of 30 degree. what is the distance from the tree branch to the mouse?
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Question 827122: log base 16 of x + log base 4 of x + log base 2 of x = 7
solve for x

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Question 730613: From the top of a 210-ft lighthouse, the angle of depression to a ship in the ocean is 15 degrees. How far is the ship from the base of the lighthouse?
A. 874ft
B. 478ft
C. 784ft
D. 748ft

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Question 1162547: Write the partial fraction decomposition of the following rational expression.
+%288x%5E2%2B10x%2B20%29%2Fx%28x%2B4%29%28x%2B5%29+

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Question 730721: Can you help me prove this trigonometic identity?:
(sinƟcosƟ)/(cos^2Ɵ-sin^2Ɵ)=tanƟ/(1-tan^2Ɵ)

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Question 731899: approximate the solution to tan θ on the interval [0,2pi)
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Question 1165816: 1. Draw an angle with the given measure in standard position.
a.70° b. 300° c. 570° d. -450° e. -185°
1. Rewrite each degree measure in radians and each radians measure in degrees.
a. 3π/4 b.π/6 c.19π/3

2.The Earth rotates on its axis every 24 hours
a. How long does it take the Earth rotate through an angle of 315°?
b. How long does it take the Earth rotate through an angle π/6?
3.Find the measure of an angle between 0° and 360° coterminal with each given angle.Draw the angles.
a. 385°
b. 575°
c. -405°
d. 7π/3

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Question 1165816: 1. Draw an angle with the given measure in standard position.
a.70° b. 300° c. 570° d. -450° e. -185°
1. Rewrite each degree measure in radians and each radians measure in degrees.
a. 3π/4 b.π/6 c.19π/3

2.The Earth rotates on its axis every 24 hours
a. How long does it take the Earth rotate through an angle of 315°?
b. How long does it take the Earth rotate through an angle π/6?
3.Find the measure of an angle between 0° and 360° coterminal with each given angle.Draw the angles.
a. 385°
b. 575°
c. -405°
d. 7π/3

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Question 1165687: Line Quadrant
y = −x
II
sin θ =

cos θ =

tan θ =

csc θ =

sec θ =

cot θ =


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Question 1165712: For the function f(x) = tan x, show that f(x+y)
- f(x)= sec^2 x tan y/1-tan x tan y

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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, 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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