Q2. Write the other trigonometric ratios of A in terms of secA.

We know that , $$cos A \ = \ \frac{1}{sec A}$$

Now, $$sin^2A + cos^2A \ = \ 1$$

=> $$sin^2A \ = \ 1 - cos^2A$$

=> $$sin A \ = \ \frac{ \sqrt{ sec^2A - 1}}{sec A}$$

$$tan^2A + 1 \ = \ sec^2A$$

=> $$tan A \ = \ \sqrt{sec^2A - 1}$$

$$cot A \ = \ \frac{1}{tan A}$$

=> $$cot A \ = \ \frac{1}{ \sqrt{sec^2A - 1}}$$

$$cosec A \ = \ \frac{1}{sin A}$$

=> $$cosec A \ = \ \frac{sec A}{ \sqrt{sec^2A - 1}}$$