The maximum value of sin(cos(tan x)) is | vedclass

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(B) The range of the function $f(x) = \cos(	an x)$ is $[-1, 1]$.Since the sine function $g(u) = \sin u$ is a strictly increasing function on the inte

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$\sin 1$

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(B) The range of the function $f(x) = \cos(	an x)$ is $[-1, 1]$.Since the sine function $g(u) = \sin u$ is a strictly increasing function on the interval $[-1, 1]$,the maximum value of the composite function $\sin(\cos(	an x))$ will occur at the maximum value of the inner function $\cos(	an x)$.The maximum value of $\cos(	an x)$ is $1$ (which occurs when $	an x = 0$).Therefore,the maximum value of $\sin(\cos(	an x))$ is $\sin(1)$.

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

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