Question

if cos+sin= root 2 cos then find cos-sin=?

​

Answer 1

Step-by-step explanation:

Given,

cosθ+sinθ=

2

cosθ

squaring on both the sides, we get,

cos

2

θ+sin

2

θ+2sinθcosθ=2cos

2

θ

cos

2

θ−sin

2

θ=2cosθsinθ

(cosθ+sinθ)(cosθ−sinθ)=2cosθsinθ

2

cosθ(cosθ−sinθ)=2cosθsinθ [ Given cosθ+sinθ=

2

cosθ]

∴cosθ−sinθ=

2

sinθ [henceproved]

hope it helps

Answer 2

Answer:

refer the attachment for solution

please thank if it helps you

and mark it as brainliest