Question

Which of the following options represents the graph of F(x) = coscos(x-)?

Answer 1

Simplify the expression.

$\begin{gathered} F(x)=\cos (\frac{1}{2}x-\frac{3\pi}{2}) \\ =\cos (\frac{3\pi}{2}-\frac{1}{2}x) \\ =-\sin (\frac{x}{2}) \end{gathered}$

Plot the function -sin (x /2).

So correct option is Option D.