f( ) = sin + 3 cos Given f() = R sin ( + ),

f(θ ) = sin θ + 3 cos θ

Given f(θ) = R sin (θ + α), where R > 0 and 0 < α < 90°.

a. Find the value of R and the value of α.

b. Hence, or otherwise, solve f(x) = 2 for 0 < θ , 360°.