Question

coso - sino
2 coso show that
coso - sino
= root2 sino​

Answer 1

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}