SOLUTION: Solve the following equation for 0 ≤ x ≤ 2π(give answers in exactly in terms of π): 2cos(π/5 - 5𝑥/2)= √3

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Question 881419: Solve the following equation for 0 ≤ x ≤ 2π(give answers in exactly in terms of π):
2cos(π/5 - 5𝑥/2)= √3
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve the following equation for 0 ≤ x ≤ 2π(give answers in exactly in terms of π):
2cos(π/5 - 5𝑥/2)= √3
cos(π/5 - 5𝑥/2)= √3/2
pi%2F5-5x%2F2=pi%2F6 (in quadrant I in which cos>0)
lcd:30
6π-75x=5π
75x=π
x=π/75
..
pi%2F5-5x%2F2=11pi%2F6 (in quadrant IV in which cos>0)
lcd:30
6π-75x=55π
75x=-49π
x=-49π/75