Question

costheta/1-sintgeta+costhrpeta/1+sintheta=4 find value of thets​

Answer 1

Answer:

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Explanation:

Okay. We've got:

cosθ1−sinθ+cosθ1+sinθ=4

Let's ignore the RHS for now.

cosθ1−sinθ+cosθ1+sinθ

cosθ(1+sinθ)+cosθ(1−sinθ)(1−sinθ)(1+sinθ)

cosθ((1−sinθ)+(1+sinθ))1−sin2θ

cosθ(1−sinθ+1+sinθ)1−sin2θ

2cosθ1−sin2θ

According to the Pythagorean Identity,

sin2θ+cos2θ=1. So:

cos2θ=1−sin2θ

Now that we know that, we can write: