The maximum value of sin(cos ,(tan ,x)) is - Vidyadip

MCQ

The maximum value of $sin(cos\,(tan\,x))$ is

A
$\frac {\sqrt 3}{2}$
✓
$sin\,1$
C
$1$
D
$sin\,(cos\,1)$

✓

Answer

Correct option: B.

$sin\,1$

b
$\cos (\tan x)$ varies from $[-1,1]$

So, sine function is increasing in between $[-1,1],$ so maximum value of $\sin (\cos (\tan x))$ is $\sin 1.$

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