5.1 In the diagram below, P(1;3) is a point on the Cartesian plane, OP = r and XÔP= θ.
5.1.1 Make use of the diagram to calculate the value of θ. (2)
5.1.2 Calculate the length of OP. Leave the answer in surd form. (2)
5.1.3 Determine the values of the following, without using a calculator:
(a) sin θ. (1)
(b) cos (180° + θ). (2)
5.2 Determine the general solutions of: 2cos2𝑥 + 5sin𝑥 = 4 (6)
5.3 Simplify:
(5)
5.4 Prove that:
(5)
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