Question

if sin +cos =√2cos, show that cos-sin =√2sin​

Answer 1

Answer:

sin + cos = √2cos

or, sin = √2cos - cos

or, sin = cos(√2 - 1)

or, cos = sin/√2 - 1

or, cos = sin(√2 + 1)/(√2 - 1)(√2 + 1)

or, cos = √2sin + sin/(√2)² - 1

or, cos = √2sin + sin/2 - 1

or, cos = √2sin + sin

or, cos - sin = √2sin

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