Question:
The value of (1 + tan²θ)·cos²θ is equal to:
(1 + tan²θ)·cos²θ का मान किसके बराबर है?
Options:
- a) 0
- b) 1
- c) sin²θ
- d) tan²θ
- a) 0
- b) 1
- c) sin²θ
- d) tan²θ
correct answer : b)
Explanation:
1 + tan²θ = sec²θ. sec²θ · cos²θ = (1/cos²θ)·cos²θ = 1.
1 + tan²θ = sec²θ। sec²θ·cos²θ = (1/cos²θ)·cos²θ = 1।