Question

sin theta + cos theta=1 then sin theta× cos theta =​

Answer 1

sin θ + cos θ = 1

sin θ = 1 - cos θ

sin θ × cos θ

=(1 - cos θ )× cos θ

=cos θ - cos²θ

HOPE THIS WILL HELP YOU

Answer 2

GIVEN THAT

sin theta +cos theta =1

SO WE CAN WRITE IT AS

sin theta = 1-cos theta........(1)

REQUIRED TO ANSWER

sin theta × cos theta

AFTER SUBSTITUTION

(1-cos theta)(cos theta)

=cos theta-cos square theta