passpadi

2019

Mathematics

JAMB

If 4sin2x−3=0, find the value of x, when 0° ≤ x ≤ 90°

A.

90°

B.

45°

C.

60°

D.

30°

Correct Answer: 60°

Explanation

4sin2x − 3 = 0 4sin2x = 3 ⟹ sin2x = 3/4 sin x = √3/2 ∴ x = sin−1(√3/2) x = 60°

4sin2x − 3 = 0 4sin2x = 3 ⟹ sin2x = 3/4 sin x = √3/2 ∴ x = sin−1(√3/2) x = 60°
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