a. Express 3 sin 3 4 cos 3 in the form R sin (3 ), with R > 0 and 0 <

a. Express 3 sin 3θ − 4 cos 3θ in the form R sin (3θ − α), with R > 0 and 0 < α < 90°.

b. Hence write down the minimum value of 3 sin 3θ − 4 cos 3θ and the value of θ at which it occurs.

c. Solve, for 0 ≤ θ < 180°, the equation 3 sin 3θ − 4 cos 3θ = 1.