isi-entrance 2013 Q65

isi-entrance · India 4 marks Standard trigonometric equations Solve trigonometric equation for solutions in an interval

The number of roots of the equation $x^2 + \sin^2 x = 1$ in the closed interval $\left[ 0, \frac{\pi}{2} \right]$ is
(A) 0
(B) 1
(C) 2
(D) 3

The number of roots of the equation $x^2 + \sin^2 x = 1$ in the closed interval $\left[ 0, \frac{\pi}{2} \right]$ is\\
(A) 0\\
(B) 1\\
(C) 2\\
(D) 3