1.

Coso - sino2 coso show thatcoso - sino= root2 sino​

Answer»

ong>ANSWER:

GIVEN ,

=COS theta + sin theta =√2cos theta

=squaring both SIDE, we GET.,

=cos^2 theta + sin^2theta+ 2sin theta cos theta= 2cos^2 theta

= cos^2 - sin^2= 2cos theta sin theta

= (cos+sin)(cos-sin) = 2cos theta sin theta

= √2cos theta(cos theta-sin theta) =2 cos sin theta{ given cos theta+sin theta= √2 cos theta}

= cos theta + sin theta=√2sin theta {hence proved}



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