Question 1

Paper 2, calculatorMedium6 marks

For 0≤x<2π0\leq x<2\pi let f(x)=2sin⁡2x+3cos⁡x−1f(x)=2\sin^2x+3\cos x-1

(a)

Solve f(x)=0f(x)=0 analytically. Give all solutions in the interval to 3 significant figures.

[4]
(b)

Hence, use a GDC to check graphically that these are the only solutions in the stated interval.

[2]

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