a. Express 15sin 8 cos in the form Rsin( ) where R > 0 and

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a. Express 15sinθ − 8 cosθ in the form Rsin(θ − α) where R > 0 and 0° < α < 90°.

Give the value of α correct to 2 decimal places.

b. Hence solve the equation 15sinθ − 8 cosθ = 3 for 0° < θ < 360°.

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