Question

If tanθ=12/5, find the value of 1+sinθ/1-sinθ

Answer 1

Answer:

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Answer 2

1+sinθ / 1-sinθ = 6.676

Step-by-step explanation:

Given: tanθ = 12/5

To find: 1+sinθ / 1-sinθ

We know that tanθ = Sinθ / Cosθ

So Sinθ / Cosθ = 12/5 as well.

Sinθ = 12 and Cosθ = 5

1+sinθ / 1-sinθ = (1+sinθ) (1+sinθ) / (1-sinθ) (1+sinθ)  

 = (1+sinθ)² / (1-Sin²θ)

 = (1+sinθ)² / Cos²θ

 = (1 + 12)² / 5²

 = 13² / 5²

 = 169 / 25

 = 6.676

1+sinθ / 1-sinθ = 6.676