Question: a. Express 9 cos + 40 sin in the form R cos ( ), where R > 0 and 0 <

a. Express 9 cos θ + 40 sin θ in the form R cos (θ − α), where R > 0 and 0

b. g(0) = 18 50+ 9 cos 0 + 40 sin 0 002T

Calculate:

i. The minimum value of g(θ)

ii. The smallest positive value of θ at which the minimum occurs.

g(0) = 18 50+ 9 cos 0 + 40 sin 0 002T

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