Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 530529: How do I reduce the fraction (4x+3)/(20x^2+23x+6) to simplest form, and include any restrictions on x?
Click here to see answer by stanbon(57352)

Question 529961: prove that left side equation is equal to the right side
1+cosx/1-cosx + 1-sinx/1+sinx = 2(sinx + secx)/tanx-sinx+secx

Click here to see answer by Aswathy(23)

Question 531423: How can i verify that cos(A+B)= 1- Tan(A)Tan(B)/sec(A)sec(B)
Click here to see answer by lwsshak3(6505)

Question 532153: Find all values of t in the interval [o,2π] satisfying sin(2t)=-1/2

Click here to see answer by Alan3354(30993)

Question 532232: -2sin(t)+2cos(2t)=0
Click here to see answer by stanbon(57352)

Question 532241: Find all solutions of each equation on the interval [0, 360)
Tanx + 1 = Secx
π = pie
A.(π/2),(3π/2)
B. 0
C.(3π/2)
D. π
Click here to see answer by solver91311(16885)

Question 532298: A pulley of radius 12 cm turns at 7 rps. What is the linear velocity of the belt driving the pulley in meters per second?
Click here to see answer by Alan3354(30993)

Question 532298: A pulley of radius 12 cm turns at 7 rps. What is the linear velocity of the belt driving the pulley in meters per second?
Click here to see answer by lwsshak3(6505)

Question 532400: Find the solutions of the equation that are in the interval [0, 2π).
csc^5 theta = 4 csc theta
I moved 4csc to the left side to get csc^5 theta - 4csc theta =0, then I factored out csc to get csc(csc^4 theta -4)=0. I don't know where to get from there or if I was on the right track. Also I don't know when csc = 0. :( Please help.
Click here to see answer by Alan3354(30993)

Question 532411: Explain why sin 3 (degrees) + sin 357 (degress) = 0?
Click here to see answer by richard1234(5390)

Question 532590: find sin -1 1/2 in radians and degrees. we cant use a calculator
Click here to see answer by Alan3354(30993)

Question 532829: Solve the following equation in the interval [0, 2 pi].
Note: Give the answer as a multiple of pi. Do not use decimal numbers. The answer should be a fraction or an integer. Note that pi is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is you should enter 1/2. If there is more than one answer enter them separated by commas.
2(cos(t))**2 - cos(t)-1=0
2 (sin(t))**2 - sin(t) -1=0
Click here to see answer by stanbon(57352)

Question 533147: How do I do this?
Identify and graph the polar equation r=2+4cos (theta). Label three points.
How do ifind the points basically?
Thank you
Click here to see answer by KMST(1868)

Question 533143: I need help please.
Im given the rectangular coordinates (1,-1) now i need to find the polar coordinates.
I don't know how.
Thank you
Click here to see answer by KMST(1868)

Question 532973: Please help, I'm confused on this problem.
log(base2)x = log(base4)(2x-1)
Solve for x.
Thanks.
Click here to see answer by lwsshak3(6505)

Question 533712: find all the solutions on the interval [0,2pi).
2tan2x-2sqrt3=0
Click here to see answer by stanbon(57352)

Question 533710: The minute hand of a clock is 7 inches long. How far does the tip move in 20 minutes? In class we are working on radians and pie. Thank you so much, I just need a refresher on how to find the answers on questions like these!So please explain how you got the answer you did. So I can apply your way to the rest of my hw. Thanks again.
Click here to see answer by lwsshak3(6505)

Question 533692: find the x-intercepts for the function f(x)= sin2x - 6sin x + 2cos x - 6 on the interval [0,2pi]
Click here to see answer by lwsshak3(6505)

Question 533520: Using the fact that the exact values of sin 45 and cos 45 are (sqrt(2))/2, and the exact values of sin 30 and cos 30 are respectively 1/2 and (sqrt(3))/2 find the exact value of sin 75
Click here to see answer by lwsshak3(6505)

Question 533411: name a value of x between 0 and 2 pi for which y=cos 2x is 0
Click here to see answer by lwsshak3(6505)

Question 533690: What's (x-1)(x+6)?
I don't understand how to do this.It just says to multiply pleae help.
Click here to see answer by boilpoil(127)

Question 534048: If csc(theta) =2 and sec (theta) is less than 0, in which quadrant does theta terminate?
Click here to see answer by lwsshak3(6505)

Question 534051: The point P on the unit circle that corresponds to a real number t is [5/7, -2sqrt6/7] Find csc (t)
Click here to see answer by lwsshak3(6505)

Question 534121: what is the coterminal angles of the following:
1. 400 degrees
2. 510 degrees
3. -925 degrees
***please show the solution how you get the coterminals of those angles***
Click here to see answer by Alan3354(30993)

Question 534178: find all the solutions on the interval [0,2pi)
tan^2x-4tanx+3=0
Click here to see answer by lwsshak3(6505)

Question 534177: find all the solutions on the interval [0,2pi)
2cot^2x+3cscx=0
Click here to see answer by lwsshak3(6505)

Question 534256: What is the probability that at least two of the nine justices of the U.S. Supreme Court have the same birthday? (Use a 365-day year. Round your answer to four decimal places.)
Click here to see answer by fcabanski(874)

Question 533337: Find all the solutions in the interval (0,2pi).
square root of 2 times sinx secx = 2sinx
Click here to see answer by lwsshak3(6505)

Question 532962: Approximate the value of log(base2)10 to 3 decimal places.
*Convert to a convenient base and evaluate on the calculator.
I have no idea what to do lol
Click here to see answer by lwsshak3(6505)

Question 532655: find the exact solution of 15 sin inverse (x) = 5pie
What i have tried to do was put in the calculator with possible answers
(sqrt(2)/2)
(5/2)
(pie/2)
(3/2)
but my calculator keeps saying error
Click here to see answer by lwsshak3(6505)

Question 531343: Two ships leave port at the same time. One ship takes a bearing of 26± East of due North. The other ship takes a bearing of 32± West of due North. Both ships are travelling at a speed of 30 miles per hour. How far apart, to the nearest mile, will they be at the end of three hours?
Click here to see answer by lwsshak3(6505)

Question 534295: use the bisection method to find each of the zeros of the function:
a) f(x)=x^2+x-1 on [-1, 1]
b) f(x)= 2x^3-x-3 on [0,2]
c) f(x)= sin x-x/2 on [1,3]
d) f(x)=2^x-x-1 on [0,2]
Click here to see answer by Edwin McCravy(8909)

Question 534698: the answer for 5sinx-4=0
Click here to see answer by stanbon(57352)

Question 534886: solve please
Click here to see answer by Earlsdon(6287)

Question 534886: solve please
Click here to see answer by josmiceli(9680)

Question 534877: how do i solve tanx= -3 over the interval [0,2pi)
Click here to see answer by KMST(1868)

Question 534881: Please help me solve this equation for the least degree in roots for:

Click here to see answer by KMST(1868)

Question 534887: find all the exact solutions (in degrees)for the equation cos theta (cot theta - sqrt3)=0 in the interval [-270 degrees, 900 degrees],
Click here to see answer by lwsshak3(6505)

Question 534831: please help me graph this equation: y=2sin(x/2-pi/3)
Click here to see answer by lwsshak3(6505)

Question 534597: Sketch on a graph 2 periods of y=150sin(4x-Pi)in radians
Click here to see answer by lwsshak3(6505)

Question 535085: A triangle with sides c=18.3 b=23.2 C=105 degrees cannot exist. Why?

Click here to see answer by Alan3354(30993)

Question 535158: Match the trigonometric expression cos^2 x(sec^2 x-1)
to one of the following:
a)cscx
b)tanx
c)sin^2x
d)sinx tanx
e)sec^2x
f)sec^2x + tan^2x
No idea how to do this. Please help?
Click here to see answer by Alan3354(30993)

Question 535155: Use the fundamental identities to simplify csc(theta)/sec(theta). Use a graphing
utility to verify your result.
I have no idea how to do this. Please help?
Click here to see answer by Alan3354(30993)

Question 535149: How can you solve to verify this identity:
4cot^2y(sec^2y-1)=1
Click here to see answer by Alan3354(30993)

Question 535139: howw does:
tan ([pi] + alpha)= tan (alpha)
i tried using the sum and difference formula like it says in the directions but it isnt helping much.
i use the formula:
tan ([pi]) + tan(alpha) all divided by 1- tan( [pi] tan alpha)
Click here to see answer by lwsshak3(6505)

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