Question

ifsinx+cosx=1 then sinxcosx is

Answer 1

sinx + cosx = 1
take square both sides,

(sinx + cosx )² = 1

sin²x + cos²x + 2sinx.cosx = 1

we know,
sin²x + cos²x = 1 { according to Trigonometric identities .}
use this ,

1 + 2sinx.cosx = 1

2sinx.cosx = 0

sinx.cosx = 0 ( answer )