Question

find the value of theta if cos theta upon 1 minus sin theta + cos theta upon 1 + sin theta is equal to 4 find the value of theta​

Answer 1

Answer:

Given,

cosθ−sinθ=1

Squaring on both sides

(cosθ−sinθ)

2

=1

cos

2

θ+sin

2

θ−2cosθsinθ=1

1−2cosθsinθ=1

2cosθsinθ=0

(cosθ+sinθ)

2

=cos

2

θ+sin

2

θ+2sinθcosθ

(cosθ+sinθ)

2

=1+0

∴cosθ+sinθ=1