Trigonometry Structured Questions | Cambridge O Level Additional Mathematics

Question 1 of 6 · 8 marks

Trigonometry · 1 - Exact values & quadrant geometry

3 parts

Additional Mathematics 4037 · Question 1Paper 2 · Calculator[8 marks]

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]