Question

Tan theta + cot theta = 2
Find tan² theta + cot² theta​

Answer 1

Answer:-

• Value of tan² ∅ + Cot² ∅ is 2.

Given:-

• tan ∅ + cot ∅ = 2.

To Find:-

• tan² ∅ + Cot² ∅ = ?

step-by-step solution:-

tan ∅ + Cot ∅ = 2 ------- ( 1 )

On squaring both side , we get :

→ (tan ∅ + cot ∅)² = (2)²

→ tan² ∅ + cot² ∅ + 2tan ∅ Cot ∅ = 4

→ tan² ∅ + cot² ∅ + 2 × 1 = 4

we know,

tan A • Cot A = 1

→ tan² ∅ + cot² ∅ = 4 - 2

→ tan² ∅ + cot² ∅ = 2

Therefore,

tan² ∅ + cot² ∅ = 2