Question:
If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.
यदि tan θ + cot θ = 5 हो, तो tan²θ + cot²θ का मान क्या होगा?
Options:
- a) 23
- b) 25
- c) 27
- d) 21
- a) 23
- b) 25
- c) 27
- d) 21
correct answer : a)
Explanation:
(tan θ + cot θ)² = tan²θ + 2·tan θ·cot θ + cot²θ. 25 = tan²θ + 2(1) + cot²θ. tan²θ + cot²θ = 23.
(tan θ + cot θ)² = 25। tan²θ + 2(1) + cot²θ = 25। tan²θ + cot²θ = 23।