Question

If cos+sin= root over 2 * cos, show that cos−sin=root over 2 *sin.

Answer 1

Hope it helps you

Heya User ,

--> cos θ + sin θ = √2 cos θ

--> sin θ = √2 cos θ - cos θ

=> sin θ = ( √2 - 1 ) cos θ

=> [ sin θ / ( √2 - 1 ) ] = cos θ

=> [ sin θ ( √2 + 1 ) / ( 2 - 1 ) ] = cos θ

0_0 --> We rationalized the denominator in the 2nd step ^_^ 

=> [ √2 sin θ + sin θ ] = cos θ

=> cos θ - sin θ = √2 sin θ

Read more on Brainly.in - https://brainly.in/question/2358027#readmore

Answer 2

Step-by-step explanation:

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