Question 5

5.1 In the diagram below, P(k ; 24)  is a point in the second quadrant such that OP = 25 units. N is a point on the positive x-axis and PÔN = θ.

WITHOUT calculating the size of 0, determine the value of the following:

5.1.1 k (2)

5.1.2 tan θ (1)

5.1.3 sina if θ + a = 360o (3)

5.1.4 cos2 – sin2 a (3)

5.2 Simplify WITHOUT using a calculator: (5)

5.3 Prove the identity: (4)

5.4 Determine the general solution of      (6)

[24]

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