SOLUTION: Solve the equation 4 times cosine of theta plus 1 = 2 times cosine of theta fortheta greater than or equal to 0 but less than 2 pi..

Click here to see ALL problems on Trigonometry-basics

Question 944548: Solve the equation 4 times cosine of theta plus 1 = 2 times cosine of theta fortheta greater than or equal to 0 but less than 2 pi..
Found 2 solutions by lwsshak3, ikleyn:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website!
Solve the equation 4 times cosine of theta plus 1 = 2 times cosine of theta fortheta greater than or equal to 0 but less than 2 pi..
***
4cosx+1=2cosx
2cosx+1=0
cosx=-1/2
x=5π/6, 11π/6

Answer by ikleyn(53937)   (Show Source):
You can put this solution on YOUR website!
.
Solve the equation 4 times cosine of theta plus 1 = 2 times cosine of theta
for theta greater than or equal to 0 but less than 2 pi.
~~~~~~~~~~~~~~~~~~~~~~~~~

        The solution in the post by @lwsshar3 is incorrect.
        I came to bring a correct solution.

4cos(x) + 1 = 2cos(x)
2cos(x) + 1 = 0
cos(x) = -1/2
x = 2π/3, 4π/3         <<<---===         ANSWER

Solved correctly.