Question 5

5.1 Simplify fully : sin(90° – x). cos(180° + x) + tanx. cosx. sin(x – 180°)

5.2 Prove, WITHOUT using a calculator, that

(6)

(6)

5.3 In the diagram below, R is a point in the first quadrant such that TOR = α .
RO is extended to P such that OP = 2 RO and TOP = β
It is given that

WITHOUT using a calculator, determine :

5.3.1 The value of tan α

5.3.2 The value of sin β

5.3.3 The coordinates of P

(3)

(3)

(4)

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