Question

if costhita-sinthita=root2sinthita then show thatcosthita+sinthita=root2costhita

Answer 1

costheta-sinthete=√2sintheta
Squaring on both sides
cos²theta+sin²theta-2costhetasintheta=2sin²theta
cos²theta-sin²theta-2costhetasintheta=0
(costheta+sintheta)(costheta-sintheta)=2costhetasintheta
(costheta+sintheta) (√2sintheta)=2costhetasintheta
costheta+sintheta=2costhetasintheta/√2sintheta
                              =√2costheta

Hence proved.
Hope this helps you out.
_________________________________________________________
                                

Answer 2

Answer:

Your answer attached in the photo