Home » Further Mathematics » Given that (sin x = frac{-sqrt{3}}{2}) and (cos x > 0), find x.

Given that (sin x = frac{-sqrt{3}}{2}) and (cos x > 0), find x.

Given that (sin x = frac{-sqrt{3}}{2}) and (cos x > 0), find x.

  • A.
    300°
  • B.
    240°
  • C.
    120°
  • D.
    60°
Correct Answer: Option A
Explanation

In order to do this, simply find the option in the range where only the cos is +ve. This occurs in the range (270° leq x leq 360°).

Check: (sin 300 = – sin 60 = frac{-sqrt{3}}{2})

(cos 300 = cos 60 = frac{1}{2})