a) Sketch on the same diagram the graphs of y = sin 2 and y = cos

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a) Sketch on the same diagram the graphs of y = sin 2θ and y = cosθ for 0° ≤ θ ≤ 180°.

b) State the number of roots of the equation sin 2θ = cos θ for which 0° ≤ 0 ≤ 180°.

c) Find the roots of the equation sin 2θ = cosθ for which 0° ≤ θ ≤ 360°.

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