1.

4. IfcosB + sín8-V2 cos θ, then show that(cose-sine)-V2 sine.(C

Answer»

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

√2sinx = cosx - sinx

at the 8th line from where root 2x came



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