N2016 P1 Q2

Use your calculator to find the gradient of the curve \(y=2^{\cos x}\) at the points where \(x=0\) and \(x=\frac12\pi\).[2]

Find the equations of the tangents to this curve at the points where \(x=0\) and \(x=\frac12\pi\) and find the coordinates of the point where these tangents meet.[3]