Question 881419
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/5-5x/2=pi/6}}} (in quadrant I in which cos>0)
lcd:30
6π-75x=5π
75x=π
x=π/75
..
{{{pi/5-5x/2=11pi/6}}} (in quadrant IV in which cos>0)
lcd:30
6π-75x=55π
75x=-49π
x=-49π/75