Question

 If, cot θ = 1, then what will be the value of cos 2θ + √3 cos²θ + sin²θ - cos²θ.
1. √3 
2. √3/2 
3. √2 
4. 1

Answer 1

Correct Answer - Option 2 : √3/2 

Given:

cot θ = 1

Calculations:

Cot θ = 1

θ = 45°

Now value of cos 2θ + √3 cos2θ + sin2θ - cos2θ at θ = 45°

cos 90° + √3 cos² 45° + sin² 45° - cos2.45°

⇒ 0 + √3 × (1/2) + (1/√2)² - (1/√2)² 

⇒ √3/2 

∴ The value of the given equation will be √3/2