Question

Find the value of sin² 135° + cot² 270°?
1. (√3)/2
2. 1/2
3. 1/(√2)
4. 0

Answer 1

Correct Answer - Option 2 : 1/2

Given:

Sin2 135° + Cot2 270°

Identity used:

Sin (90° + θ) = Cos θ 

Cot 90° = 0

Cos 45° = 1/(√2)

Calculation:

⇒ Sin2 135° + Cot2 270°

⇒ Sin2 (90° + 45°) + Cot2 (90° × 3)

⇒  Cos2 45° + Cot2 (90°)

⇒ 1/(√2)² + 0 = 1/2

∴ The value of Sin2 135° + Cot2 270° is 1/2.