Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 459033: need help with this equation.

Y=3cos(x+π/12)
Click here to see answer by lwsshak3(6518)

Question 458896: How do I get the phase shift for y = cos(3x+pi) ?
Click here to see answer by lwsshak3(6518)

Question 458540: 2cosx= sin2x btween 0 and 3 pie
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Question 463788: What is the exact value of cos 0° as found on the unit circle?
Click here to see answer by richard1234(5390)

Question 464044: A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch?
Click here to see answer by algebrahouse.com(1079)

Question 463994: I have to graph the following equation of the two periods of a tangent. The problem is y= 2 tan x/4. Please help me I am completly lost!
Click here to see answer by lwsshak3(6518)

Question 464315: write the difference sin 8t - sin 2t as a product
Click here to see answer by Edwin McCravy(8909)

Question 464327: Prove that
Cot y - cot x = sin (x-y) / sinx sin y

Click here to see answer by Gogonati(809)

Question 464328: Use appropriate identities to find the exact value of tan 5pi/12

Click here to see answer by Gogonati(809)

Question 464330: Graph of f(x) = 1/2 cos (x/2)
Click here to see answer by lwsshak3(6518)

Question 463880: Find f(2)if f(x)=log4x
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Question 464495: having an x-intercept 2 and parallel to the y-axis
Click here to see answer by Alan3354(30993)

Question 464704: dhdghdgh be used solve any equation of the form ax2 +bx+c=0. a=3, b=6, and c=1.
Click here to see answer by stanbon(57377)

Question 464839: graph two periods of the given cosecant and secant function Y= 3 sec x
Click here to see answer by Alan3354(30993)

Question 465066: If f(x)= 5x^2 -8x + 13 a. evaluate f(3) b.evaluate f(-7)
Click here to see answer by solver91311(16897)

Question 464893: I need to determine an amplitude, period and shift phase for each function. and I half to graph one period of the function. y=sin(x - PI/2)
Click here to see answer by lwsshak3(6518)

Question 465237: Given and secx is less than 0, find cosx and tanx.
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Question 465237: Given and secx is less than 0, find cosx and tanx.
Click here to see answer by Ryan O(12)

Question 464583: please help me verify using identities:
((sec theta - tan theta)^2 +1)/(sec theta csc theta -tan theta csc theta)=2tan theta
Click here to see answer by lwsshak3(6518)

Question 461074: can one of the tutors help me with this question
Consider the function f(x)=2x-1 and g(x)=x^2 . For what values of x does f o g(x)= g o f(x)
Click here to see answer by lwsshak3(6518)

Question 464681: Multiply and Simplify.

root:4:(4)*root:6:(18)
Click here to see answer by sofiyac(695)

Question 465740: On a graph they want me to find y=A sin 0 (with a dash in the middle) for 0 (with a dash in the middle) between 0 and 6.28 radians, where A is constant. Which one?
Click here to see answer by richard1234(5390)

Question 465567: Find all the angles between 0 and 360 degrees,
i) 4(cos)^2(theta) = 4(sin)theta + 1
ii) 2 sin.x + 3 cos.x = 0
*Please answer as soon as possible bro :)
Click here to see answer by lwsshak3(6518)

Question 466025: what is the reference angle of -1.85radians??
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Question 466261: (5/x)=(10/3x)+4 (assuming x≠0; note:LCD=3x)
(5/x)(3x)=(10/(3x))(3x)+(4)(3x)⇛
15=10+12x⇛
5=12x⇛
5/12=x
How could you verify the solution? (please justify your response)
Thank you so much!
Click here to see answer by sudhanshu_kmr(1152)

Question 466262: Fill in the blank:
Solving (1/4)x-(2/3)=(5/12)x
(show the result calculations of each step by following instructions)
1. find the LCD
2. multiply both sides of the equation by the LCD
3. use the distributive property
4. simplify when appropriate
5. separate the variable from the constants
6. make the coefficient of the variable equal to 1
My Professor likes to keep me confused I think. LOL. Thank you so much for the help!!
Click here to see answer by mananth(12270)

Question 466424: N 5 22x2 1 76x 1 430 were x=0 (a) Use the equation to find N for each year in the table.
(b) Discuss how well this equation approximates the data.
(c) Rewrite the equation with the right side completely
factored.
(d) Use your equation from part (c) to find N for each year
in the table. Do your answers agree with those found in
part (
Click here to see answer by solver91311(16897)

Question 466502: To prove:-
cos12.cos24.cos48.cos84=1/16
can anyone help me with this................
Click here to see answer by richard1234(5390)

Question 466595: I am lost with these questions, please any help would be amazing!
1)Solve 2(sin^2)x-1 =0
2)Solve 4sin2x - 4 = 0 in [0,2pi)
3)Solve cos(x)-1 = sin(x) in [0,2pi)
Thank you so much!!
- Michelle
Click here to see answer by stanbon(57377)

Question 466507: The function f is defined for 0 ≤ x ≤ 360
f(x) = 3sin(2)x-1.
i) State the amplitude and period of f.
ii) Sketch the graph of f.
*Please explain how you sketch the graph in steps and give the values. Thanks bro :) =)
Click here to see answer by lwsshak3(6518)

Question 467010: Find the exact value of sin(2q) if csc(q) = -4 and 180° < q < 270°

Click here to see answer by stanbon(57377)

Question 467010: Find the exact value of sin(2q) if csc(q) = -4 and 180° < q < 270°

Click here to see answer by Edwin McCravy(8909)

Question 467076: the angle is 15, adjacent is 3 and opposite is 7 find the hypotenuse
Click here to see answer by Theo(3464)

Question 467040: For x>0, find sin(arccos(4/x))
Thank you so much in advance!!!!!!!!!
Click here to see answer by Edwin McCravy(8909)

Question 467088: Approximate to the nearest degree, the solutions of the equation in the interval [0, 360)
sin^2(t)-5sin(t)+1=0.
I do know that there will be two answers, I'm just not sure what they are;-).
Thanks you in advance!!!!!!!!
Click here to see answer by Alan3354(30993)

Question 467147: simplify and write the trigonometric expression in terms of sine and cosine:
cos(u)sec(u)/tan(u) = f(u)/g(u)
Click here to see answer by asuar010(324)

Question 467094: cos (theta-(3pi/4)) is equivalent to which of the following?
a.
b.
c.
d.
e.
f.
Thank you sooooooooo much in advance!!! This question has been driving me bonkers;-)!!!
Click here to see answer by lwsshak3(6518)

Question 466997: determine the quadrant containing the angle theta:
cos theta is greater than zero and tan theta is less than zero
Click here to see answer by lwsshak3(6518)

Question 467680: (cot)/(csc-1)=(csc+1)/(cot)
please prove this for me :)
Click here to see answer by Alan3354(30993)

Question 467680: (cot)/(csc-1)=(csc+1)/(cot)
please prove this for me :)
Click here to see answer by lwsshak3(6518)

Question 467646: I am confused about two parts of this equation:
I am given one function and I am supposed to find the other five functions with that given function.
The function I was given is:
cos A = 1/3
I have already found the following functions:
sin A = 2 sqrt(2)/3
tan A = 2 sqrt(2)
sec A = 3
My answers for functions "cot A" and "csc A" are:
cot A = 1/ 2 sqrt(2)
csc A = 3/ 2 sqrt(2)
The answers for "cot A" and "csc A" on the answer sheet are:
cot A = sqrt(2)/4
csc A = 3 sqrt(2)/4
I am confused about how the answers were found.
Click here to see answer by lwsshak3(6518)

Question 467644: find the sin(a+b) if tan(a) = 7/24 where a is in the third quadrant and cos (b)= -12/13 where b is in the second quadrant
Click here to see answer by lwsshak3(6518)

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