Question

If

Cos θ + Sin θ= 2Cos θ

then show that

Cos θ - Sin θ=root2Sin θ ​

Answer 1

Answer:

Given,

cosθ+sinθ= √2cosθ

squaring on both the sides, we get,

cos2θ+sin2θ+2sinθcosθ=2cos squareθ

cos2θ−sin2θ=2cosθsinθ

(cosθ+sinθ)(cosθ−sinθ)=2cosθsinθ

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

∴cosθ−sinθ= √2sinθ [henceproved]

Answer 2

Answer:

hk answer is correct

Welldone hk