Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 607007: Given sinθ=− 3, where 3π<θ<2π, find the exact values of sin2θ and cos2θ. Leave the answer in rational or radical form.
Click here to see answer by lwsshak3(6522)

Question 607195: given that sin pi/8 = 0.38268, use identites to find cos pi/8
Click here to see answer by jim_thompson5910(28598)

Question 607036: Can someone graciously help me on this problem, please?
Solve sin(6x)cos(9x)+cos(6x)(9x)= -0.55 for the smallest positive solution.
x= ?
Thank you.
Click here to see answer by jsmallt9(3296)

Question 607319: Verify that sec theta/sin theta * cot theta/csc theta = csc theta is an identity, help?
I got csc theta as my answer, but I'm not sure how to prove that it is an identity.
Click here to see answer by richard1234(5390)

Question 607371: I need to know the inverse of cosine of cos 2/7
The problem is written out like this:
cos^-1(cos 2/7)
I can do it on the calculator but its not supposed to be worked on the calculator. Help please??
Click here to see answer by Alan3354(30993)

Question 607262: Prove the following trigonometric identities,tan2 theta + 1 = csc2 theta

Click here to see answer by Alan3354(30993)

Question 607411: If cos(x)=-1/4 and tan(X) is negative what is Sin2x
Click here to see answer by jsmallt9(3296)

Question 607266: What is the half-life of a 5g radioactive substance that decomposes at a rate of 3.5x10-2/sec?

Click here to see answer by ankor@dixie-net.com(15661)

Question 607379: Solve: 2/3 secx = cosx
Click here to see answer by jsmallt9(3296)

Question 607261: Derive at least the three (3) equivalent expressions of the trigonometric expression sin 2theta using the sum/difference identities .

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Question 607443: what is the amplitude and period of y=2/3cos(pi/10))
Click here to see answer by lawdej(58)

Question 607490: cot2 theta + 5 = 6cot theta. Present your answer in radians (where possible in exact form, otherwise – up to three decimal places).
Click here to see answer by lwsshak3(6522)

Question 607375: The depth of the water at the end of a boat dock is given by:
y=3sin[2pi/12 (x+3)] +9, where x is the number of hours after midnight.
a. What is the amplitude?
b. What is the period?
c. What is the phase shift?
d. Sketch the graph of function for one full period starting with midnight.
Click here to see answer by lwsshak3(6522)

Question 607621: if you factor the problem 10x^2+13x-30 what would be the answer
Click here to see answer by scott8148(6628)

Question 607612: If cot x = -1.5,find tan x
Click here to see answer by Alan3354(30993)

Question 607756: what is the exact value of: tan25 +tan110/ 1-tan25 tan110
Click here to see answer by lwsshak3(6522)

Question 607933: Can someone PLEASE help me with this problem? Thank you!
If tan(theta)=9/8 and cot(phi)=3/5, find the exact value of sin(theta+phi).

Click here to see answer by scott8148(6628)

Question 607994: the minute hand on a clock tower has a length of 3.5 feet. How far will the tip of the minute hand travel in 5 minutes?
Click here to see answer by nerdybill(6963)

Question 608023: Hi, I hope someone helps me with this trigonometric equations problem.
How do you get the solution set of cos^2 2x + 3sin2x = 3 ?
Also please include the steps. I don't understand our lesson well, especially the part where the reference angle enters. I don't get it at all. Thank yoy for your help!
Click here to see answer by Alan3354(30993)

Question 608069: Find the square roots of 4 times the square root of 3 +4i. Ex: k=0 and k=1
Click here to see answer by Edwin McCravy(8914)

Question 608278: Prove the following identity:

Click here to see answer by solver91311(16897)

Question 608276: Prove the following identity:

Click here to see answer by Alan3354(30993)

Question 608363: Please help me I am doing a Trigonometery unit projct and need to include how to find sine and Cosine of an angle using the unit circle.Don't know how to find it.
Click here to see answer by solver91311(16897)

Question 608396: if the point (a,3) is on the terminal side of an angle of 30 (degrees) in standard position than a=
Click here to see answer by stanbon(57410)

Question 608415: tan(cot-cos)
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Question 608443: How to establish the identities:
(sin(a-b))/(sin(a)cos(b))=1-cot(a)tan(b)
and
2sin(2theta)(1-2sin^2theta)=sin(4theta)
Click here to see answer by lwsshak3(6522)

Question 608459: if sinx+sin^2x=1 ;then the value of cos^12x+3cos^10+3cos^8x+cos^6x+2cos^4x+2cos^2x-2
Click here to see answer by jsmallt9(3296)

Question 608730: I just need to check my answers.
What are the exact values of the following:
tan(-510)
csc 11pi/4
sin(-90)
cot 1665
cot 30
tan 315
csc pi/4
tan 4pi/3
Click here to see answer by Alan3354(30993)

Question 608704: In the process of completing the square, 3x²+7x=12 becomes x^2+7/4x=4
True or False
Click here to see answer by Edwin McCravy(8914)

Question 608795: Flight 2412 takes of from SMF with a bearing of N15E at speed of 350 mph. Flight 813 takes off from an adjacent runway at the same time on a bearing of S40E at a speed of 400 mph. what is the distance between the planes 90 minutes later?
Click here to see answer by Alan3354(30993)

Question 608766: If tan(theta)=4 find the exact values of a) sec^2(theta) b) cot(theta) c) cot(pi/2-theta) d) csc^2(theta)
Click here to see answer by lwsshak3(6522)

Question 609036: Find the exact value of the expression, cos^2(pi/8)-sin^2(pi/8)
Click here to see answer by jsmallt9(3296)

Question 608979: I am doing an open response question on a take home test.
My question is how do I find the domain and range of the periodic function that is graphed for the problem? It does not give me the equation to the function.
I appreciate the help.
Click here to see answer by jsmallt9(3296)

Question 609058: Find the exact value of the expression 1/2cos(pi/12)+(sqrt3)/2sin(pi/12)
Click here to see answer by jsmallt9(3296)

Question 609073: Can you verify tan(-x)csc x cos(-x)= -1
Click here to see answer by jim_thompson5910(28598)

Question 609202: Given the following values, what is angle A a = 6, b = 4, c = 96 degrees
Click here to see answer by math-vortex(472)

Question 609481: How many revolutions will a car wheel of diameter 24 inches make as the car travels a distance of 3 miles?
Click here to see answer by Alan3354(30993)

Question 609489: Find All solutions in [0,2pi) correct to 3 decimal places:

4sec(x)+sec^2(x)=0
Click here to see answer by Alan3354(30993)

Question 609487: tan^-1(tan (7pi/10))
Click here to see answer by Alan3354(30993)

Question 609487: tan^-1(tan (7pi/10))
Click here to see answer by lynnlo(4164)

Question 609501: Circle the Larger Number
1.
a) tan^-1(-1/4) b) cos^-1(-1/4)

2.
a) sin(4pi/5) b) cos(4pi/5)
Click here to see answer by jsmallt9(3296)

Question 609520: Find the exact value of x?
arcsinx - arccosx = pi/6
our prof said in this case we should let theta=arccosx but after that everything is all blurry and I just don't know how to go about this. Someone please explain to me how to get the answer. Also please show the steps if you can. Thank you!
Click here to see answer by Alan3354(30993)

Question 609527: Find the exact value of x
arcsinx - arccosx = pi/6
our prof said in this case we should let theta=arccosx but after that everything is all blurry and I just don't know how to go about this. Someone please explain to me how to get the answer. Also please show the steps if you can. Thank you!
Click here to see answer by Alan3354(30993)

Question 609502: Solve for x:

4(1+sin(x))=cos^2(x)
Click here to see answer by jsmallt9(3296)

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