Question

if cosec theta + cot theta = 5 then evaluate sec theta​

Answer 1

Answer:

Secθ = 13/12

Step-by-step explanation:

Cosecθ + Cotθ = 5

1 + Cosθ = 5Sinθ

//Square on both sides

(1 + Cosθ)² = (5Sinθ)²

(1 + Cosθ)² = 25Sin²θ

//Remember Sin²θ = 1 -Cos²θ

(1 + Cosθ)² = 25 (1 - Cos²θ)

(1 + Cosθ)² = 25 (1 - Cosθ)(1 + Cosθ)

1 + Cosθ = 25 ( 1 - Cosθ)

1 + Cosθ = 25 - 25Cosθ

26Cosθ = 24.

Cosθ = 24/ 26 = 12/13

Secθ = 13/12

Answer 2

Answer:

Step-by-step explanation: