SOLUTION: Find the exact solution of the equation 2pi = 6cos^-1(3x). (The "6cos^-1" is cos inverse)

Algebra.Com
Question 512065: Find the exact solution of the equation 2pi = 6cos^-1(3x).
(The "6cos^-1" is cos inverse)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the exact solution of the equation 2pi = 6cos^-1(3x).
----
cos^-1(3x) = pi/3
---
Take the cos of both sides to get:
----------
3x = cos(pi/3)
--
3x = 1/2
x = 1/6
============
Cheers,
Stan H.
============

RELATED QUESTIONS

Use inverse trigonometric functions to express the solution of the following equation... (answered by Alan3354)
solve the equation:... (answered by ikleyn)
A cosine curve has a maximum point at (2,16) and the nearest minimum point to the right... (answered by Theo)
what is the exact value of 6cos(-61pie/6) -... (answered by venugopalramana)
Please help me find the eXACT solutions of the given equation, in radians, that lie in... (answered by robertb)
find the exact values of x in the interval [0, 4π] that satisfy the equation. (Enter (answered by lwsshak3)
Find the inverse Laplace transform f(t)=L^(−1){F(s)} of the function... (answered by CPhill)
Find exact solution of 3cos^-1(5x) = 2pi. What is the solution... (answered by Alan3354)
Prove the following identity: cos 4x = cos^4x - 6cos^2xsin^2s +... (answered by venugopalramana)