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If cos+sin=√2cos then prove that cos-sin=√2sin …

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If cos+sin=√2cos then prove that cos-sin=√2sin ?
  • 2 answers

Gaurav Seth 6 years, 10 months ago

Let θ = x

cos x  + sin x =  2 cos x

squaring on both side, we get......

cos2x + sin2x + 2cosxsinx = 2cos2x

2sinxcosx = 2cos2x - cos2x - sin2x

2sinxcosx = cos2x - sin2x

2sinxcosx = (cosx+sinx) (cosx - sinx)

2sinxcosx = (root2 cosx) (cosx - sinx)

2sinxcosx/root2 cosx = cosx - sinx

 2 sinx = cosx - sinx

Puja Sahoo? 6 years, 10 months ago

Hey, scroll down ek aisa hi question ka answer dia hai maine
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