If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is A. 2 B. 1 C. √2 D. 0

If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is

1. 2
2. 1
3. √2
4. 0

Answer & Explanation

Answer: Option A
tan θ + cot θ = 2 , On squaring both sides,
(tan θ + cot θ)2 = 4, ⇒ tan2θ + cot2θ + 2 tan θ cot θ = 4,
⇒ tan2θ + cot2θ = 4 – 2 = 2 , [tan θ . cot θ = 1]

TAGS:

If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is A. 2 B. 1 C. √2 D. 0If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is A. 2 B. 1 C. √2 D. 0If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is A. 2 B. 1 C. √2 D. 0