Question 1

Paper 1, no calculatorMedium6 marks

Figure 1 shows a point PP on the unit circle. The angle θ\theta is measured anticlockwise from the positive xx-axis to OPOP and θ\theta lies in quadrant II.

θ5/13POxy
(a)

Determine cos⁡θ\cos\theta and tan⁡θ\tan\theta

[3]
(b)

Hence, determine the exact values of sin⁡2θ\sin 2\theta and cos⁡2θ\cos 2\theta

[3]

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