The solutions of the given trigonometric equation are 60°, 180°, 300°.
What is a trigonometric equation?
A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.
The given trigonometric equation is:
cos (x/2) - sin (x) = 0
⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0
⇒ cos (x/2) [1 - 2sin (x/2)] = 0
Therefore, cos (x/2) = 0 = cos (90°) (x/2 can't be 270°)
⇒ x = 180°
Again, [1 - 2sin (x/2)] = 0
⇒ 2sin (x/2) = 1
⇒ sin (x/2) = 1/2
⇒ (x/2) = 30°, 150°
⇒ x = 60°, 300°
Learn more about trigonometric equation here: https://brainly.com/question/15502598
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