a. Express 2 cos 3sin in the form Rcos( + ), where R . 0 and 0

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a. Express 2 cosθ− 3sinθ in the form Rcos(θ + α), where R . 0 and 0° < α  <90°.

Give the exact value of R and the value of α correct to 2 decimal places.

b. Hence solve the equation 2 cosθ − 3sinθ = 1.3 for 0° < θ < 360°.

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