Question

if cos theta-sin theta=1/√12 then find cos theta.sin theta (please answer it's urgent)​

Answer 1

Answer:

cosθ−sinθ=

2

sinθ

Squaring, we get

cos

2

θ+sin

2

θ−2sinθcosθ=2sin

2

θ

or 1−2sinθcosθ=2(1−cos

2

θ)

or 1+2sinθcosθ=2cos

2

θ

or sin

2

θ+cos

2

θ+2sinθcosθ=2cos

2

θ

or (sinθ+cosθ)

2

=2cos

2

θ

∴sinθ+cosθ=

2

cosθ