Question

Express the following in terms of trigonometric ratios of angles between 0° and 45°.

cot 59° + cosec 59°

Answer 1

Given: cot 59° + cosec 59°

Step-wise calculation:

1. 90° – 59° = 31°.

2. Use cofunction identities: cot θ = tan(90° – θ) and cosec θ = sec(90° – θ).

3. Therefore cot 59° = tan 31° and cosec 59° = sec 31°.

cot 59° + cosec 59° = tan 31° + sec 31°.