Question

value of 1+tan5cot85​

Answer 1

Answer:

cosec^2 85

Step-by-step explanation:

1 + tan5 x cot85

1 + cot(90-5) x cot 85

1 + cot 85 x cot 85

1 + cot^2 85

let 85° be Φ

so

1 + cot^2 Φ

we know 1 + cot^2 Φ = cosec^2 Φ

so

ans = cosec^2 85. [ replace Φ with 85°]