Question

If cos theta plus sin theta equal 1 prove that cos.Theta minus sin theta

Answer 1

sin teta+cos teta=1

(cos teta= 1- sin teta)

(sin teta = 1- cos teta)

cos teta- sin teta

=(1- sin teta) - (1- cos teta)

=1- Sin teta - 1+ cos teta

= - sin teta+cos teta

=cos teta - sin teta

= Hence Proved