Home » If (4sin^2 x – 3 = 0), find the value of x, when 0° (leq)…

If (4sin^2 x – 3 = 0), find the value of x, when 0° (leq)…

If (4sin^2 x – 3 = 0), find the value of x, when 0° (leq) x (leq) 90°

  • A.
    90°
  • B.
    45°
  • C.
    60°
  • D.
    30°
Correct Answer: Option C
Explanation

(4sin^2 x – 3 = 0)

(4 sin^2 x = 3 implies sin^2 x = frac{3}{4})

(sin x = frac{sqrt{3}}{2})

(therefore x = sin^{-1} (frac{sqrt{3}}{2}))

x = 60°

There is an explanation video available below.

Explanation Video