Question 885405
sin theta +sin ^2 theta =1 prove that cos^2 +cos^4=1


sin (theta) +sin ^2 (theta) =1 


sin (theta) +1-cos ^2 (theta) =1 


sin (theta) -cos ^2 (theta) =0

 
sin (theta) =cos ^2 (theta)

square both sides

sin^2 (theta) =cos ^4 (theta)

1-cos ^2 (theta)= cos ^4 (theta)

cos ^4 (theta)+cos ^2 (theta)=1