isi-entrance 2012 Q25

isi-entrance · India · solved Trig Graphs & Exact Values
For $\theta \in (0, \pi/2)$, which of the following is true?
(A) $\cos(\sin\theta) < \cos\theta$
(B) $\cos(\sin\theta) < \sin(\cos\theta)$
(C) $\cos(\sin\theta) > \cos\theta$
(D) $\cos(\sin\theta) > \sin(\cos\theta)$
Option (C): $\cos(\sin\theta) > \cos\theta$ for $\theta \in (0, \pi/2)$.
For $\theta \in (0, \pi/2)$, which of the following is true?

(A) $\cos(\sin\theta) < \cos\theta$

(B) $\cos(\sin\theta) < \sin(\cos\theta)$

(C) $\cos(\sin\theta) > \cos\theta$

(D) $\cos(\sin\theta) > \sin(\cos\theta)$