a. Express 0.3 sin 0.4 cos in the form R sin ( ), where R > 0 and 0 <

a. Express 0.3 sin θ − 0.4 cos θ in the form R sin (θ − α)°, where R > 0 and 0 < α < 90°. Give the value of α to 2 decimal places.

b.

i. Find the maximum value of 0.3 sin θ − 0.4 cos θ.

ii. Find the value of θ, for 0 < θ < 180 at which the maximum occurs.