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

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a. Express 15sin − 8 cos in the form R sin(θ - α),where R > 0 and 0° < α < ,90°.

Give the value of α correct to 2 decimal places.

b. Hence solve the equation 15sin − 8 cosθ = 10 for 0° <  θ <360°.

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