The number of values of x for which sin,, 2x | vedclass

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Question

$\sin 2 x+\cos 4 x=2$

$\Rightarrow \quad \sin 2 x=1, \cos 4 x=1$

$\Rightarrow \quad 1-2 \sin ^{2} 2 x=1$

$\Rightarrow \quad 1-2=1$ which is a

Vedclass · Accepted Answer

$0$

Vedclass · Answer

$\sin 2 x+\cos 4 x=2$

$\Rightarrow \quad \sin 2 x=1, \cos 4 x=1$

$\Rightarrow \quad 1-2 \sin ^{2} 2 x=1$

$\Rightarrow \quad 1-2=1$ which is absurd

Hence there is no solution.

The number of values of $x$ for which $sin\,\, 2x + cos\,\, 4x = 2$ is

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