Question

Sin(cosx) = 1 solve for x

Answer 1

Answer:

There is no solution for x.

Step-by-step 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)