Question

If cose + sine = 2 cos prove that cos e-sin e = 2 sine.​

Answer 1

Answer:

HEY MATE HERE IS YOUR ANSWER‼️

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]