Question 3

3.1 In the diagram below, ΔAQPR is a right-angled triangle with QPR = 90 ^o

3.1.1 Use the sketch to determine the ratio of tan(90⁰ — R). (1)

3.1.2 Write down the trigonometric ratio that is equal to

S(-3 ; -4) is a point on the Carstesian plane such that OS makes an angle of θ with the positive x-axis.

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Calculate the following WITHOUT using a calculator:

3.2.1 The length of OS (2)

3.2.2 The value of sec θ + sin ² θ (3)

3.3 Determine the value of the following WITHOUT using a calculator:

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