isi-entrance 2011 Q15

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

The number of solutions of the equation $\sin ( \cos \theta ) = \theta$, $- 1 \leq \theta \leq 1$, is
(a) 0
(b) 1
(c) 2
(d) 3

(B) The graphs of $\cos\theta$ and $\sin^{-1}\theta$ intersect at exactly one point.

The number of solutions of the equation $\sin ( \cos \theta ) = \theta$, $- 1 \leq \theta \leq 1$, is\\
(a) 0\\
(b) 1\\
(c) 2\\
(d) 3