- #1

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## Homework Statement

##\forall x \in R##, find the range of function, ##f(x)=\cos x(\sin x+\sqrt{\sin^2x+\sin^2\alpha})##; ##\alpha \in [0,\pi]##.

## Homework Equations

## The Attempt at a Solution

Honestly, I cannot think of how to approach this problem. I don't see how would I simplify the given expression. I require a few hints to start with.

Any help is appreciated. Thanks!