Determine the general solution of .

Answer and explanation

Correct answer: C.

  1. Step 1: The reference angle is 30°; sine is positive in the first and second quadrants, giving 30° and 180° - 30° = 150°.
Answer
.
Why not the others: : 330° is in the fourth quadrant, where sine is negative. : the reference angle for sin x = 1/2 is 30°, not 60°. : sine has period 360° and a second solution in the second quadrant.

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