Answer:
There is no solution for x.
Step-by-step explanation:
We are given that [tex]\sin (\cos x) = 1[/tex] and we have to solve for x.
Let us assume that [tex]\cos x = \theta[/tex] then [tex]\sin \theta = 1[/tex] ........ (1)
Now, we know that for any value of x the value of cos x lies between 1 to - 1.
Hence, [tex]1 \geq \cos x \geq - 1[/tex] for all x.
⇒ [tex]1 \geq \theta \geq - 1[/tex]
Now, for [tex]1 \geq \theta \geq - 1[/tex], the value of [tex]\sin \theta[/tex] can never be equal to 1.
Hence, there is no solution for x. (Answer)
