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Additional Mathematics 4037

Question 1 of 68 marks

Trigonometry · 1 - Exact values & quadrant geometry

3 parts

ADDITIONAL MATHEMATICS 4037 · STRUCTURED PRACTICE

Paper 2 · Calculator

1

Given that $\sin A = -\frac{4}{5}$ , where $180^\circ < A < 270^\circ$ , and $\cos B = \frac{5}{13}$ , where $270^\circ < B < 360^\circ$ :

(a)

State the quadrant in which angle $A$ lies and determine the exact value of $\tan A$ .

[2]

(b)

Find the exact value of $\sec B$ .

[2]

(c)

Calculate the exact value of $\csc A - \cot B$ .

[4]

Total: 8 marks

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