Question

Sin(cosx) = 1 solve for x

Answer 1

There is no solution for x.

Explanation:

We are given that
`\sin (\cos x) = 1` and we have to solve for x.

Let us assume that
`\cos x = \theta` then
`\sin \theta = 1` ........ (1)

Now, we know that for any value of x the value of cos x lies between 1 to - 1.

Hence,
`1 \geq  \cos x \geq  - 1` for all x.

⇒
`1 \geq  \theta \geq  - 1`

Now, for
`1 \geq  \theta \geq  - 1`, the value of
`\sin \theta` can never be equal to 1.

Hence, there is no solution for x. (Answer)