SOLUTION: Solve the following equations for all x, unless the domain is restricted. 4cos2(x) = 3 A. 30°° + 360°n B. 30° + 360°n, 330°° + 360°n C. 150° + 360°n, 210° + 360Â

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the following equations for all x, unless the domain is restricted. 4cos2(x) = 3 A. 30°° + 360°n B. 30° + 360°n, 330°° + 360°n C. 150° + 360°n, 210° + 360      Log On


   

Question 1205836: Solve the following equations for all x, unless the domain is restricted.
4cos2(x) = 3
A. 30°° + 360°n
B. 30° + 360°n, 330°° + 360°n
C. 150° + 360°n, 210° + 360°n
D. 30° + 360°n, 210° + 360°n
E. 150° + 360°n, 360° + 360°n
F. 30° + 360°n, 150° + 360°n, 210° + 360°n 330° + 360°n
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4cos%5E2%28x%29+=+3
cos%5E2%28x%29+=+3%2F4
cos%28x%29+=+sqrt%283%2F4%29
cos%28x%29+=+sqrt%283%29%2F2
x=cos%5E-1%28sqrt%283%29%2F2%29
x=pi%2F6=30°
general solutions:
x=pi%2F6+%2B2pi%2An=30+%2B360%2An
x=5pi%2F6+%2B2pi%2An=5%2A30%2B360%2An=150%2B360%2An
x=7pi%2F6+%2B2pi%2An=7%2A30%2B360%2An=210%2B360%2An
x=11pi%2F6+%2B2pi%2An=11%2A30%2B360%2An=330%2B360%2An

answer:
F. 30° + 360°n, 150° + 360°n, 210° + 360°n ,330° + 360°n