a. Express5 cos + 2 sin in the form Rcos( ), where R > 0 and

a. Express√5 cosθ + 2 sinθ in the form Rcos(θ − α), where R > 0 and 0°< α < 90°.
Give the value of α correct to 2 decimal places.
b. Find the smallest positive angle θ that satisfies the equation √5 cosθ + 2 sinθ = 3.
c. Find the smallest positive angle θ that satisfies the equation.

Transcribed Image Text:

√5 cos 0 + 2 sin 10 = -1