If tan θ + cot θ = 2, then tan2θ + cot2θ is equal to: 1. 1 2. 2 3. 4 4. 8

Question

KnowledgeBoat · Accepted Answer

Given, tan θ + cot θ = 2 Square on both sides, ⇒ (tan θ + cot θ)2 = 22 ⇒ tan2 θ + cot2 θ + 2 tan θ cot θ = 4 ⇒ tan2 θ + cot2 θ + 2 tan θ = 4 ⇒ tan2 θ + cot2 θ + 2 = 4 ⇒ tan2 θ + cot2 θ = 4 - 2 ⇒ tan2 θ + cot2 θ = 2 Hence, option 2 is the correct option.

Mathematics

If tan θ + cot θ = 2, then tan²θ + cot²θ is equal to:
1
2
4
8

Trigonometric Identities

Related Questions

Mathematics

If tan θ + cot θ = 2, then tan2θ + cot2θ is equal to:1248

Trigonometric Identities

Related Questions

If tan θ + cot θ = 2, then tan²θ + cot²θ is equal to:
1
2
4
8