Question

Q.5) If cosec 0 + cot 0 = 5, then evaluate seco.
​

Answer 1

Answer:

Cosec theta + cot theta = 5

1/sin theta + cos /sin theta = 5

1 + cos / sin = 5

1+ cos = 5 sin

Cos = 5sin - 1

So, Sec theta = 1/5sin - 1

Answer 2

Step-by-step explanation:

cosecθ+cotθ=5

➡(1+cosθ)/sinθ=5

➡1+cosθ=5sinθ

➡(1+cosθ)²=25sin²θ

➡(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