Solve the equation for x if 0 x 2 Give your answer in radia

Solve the equation for x if 0 x < 2. Give your answer in radians using exact values only. (Enter your answers as a comma-separated list.)

2 cos2 x 3 sin x 3 = 0

Please show your work, thanks!

Solution

2cos2x - 3sinx -3 = 0

2( 1 - 2sin2x) - 3sinx - 3 =0

4sin2x + 3sinx + 1 = 0

this gives no any real value of x. so no solution

Solve the equation for x if 0 x < 2. Give your answer in radians using exact values only. (Enter your answers as a comma-separated list.) 2 cos2 x 3 sin x 3

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