Question

cos theta upon 1 minus sin theta + cos theta upon 1 + sin theta equals 4

Answer 1

Hello mate!!

Answer:

θ=π3 or 60∘

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:

2cosθcos2θ

2cosθ=4

cosθ2=14

cosθ=12

θ=cos−1(12)

θ=π3, when 0≤θ≤π.

In degrees, θ=60∘ when 0∘≤θ≤180∘


Hope it helpful

Answer 2

ĀNSWĒR ⬆⬆

Theta will be 60°


THANKS ❤

#RÔYÂL CHÔRÎ ♥