Question

If sinθ+cosθ= 1 then sin⁶θ+cos⁶θ is​

Answer 1

Answer:

Given, sinθ+cosθ=1

Squaring both sides gives,

sin 2θ+cos 2

θ+2sinθcosθ=1

⇒1+2sinθcosθ=1

⇒2sinθcosθ=0

⇒sinθcosθ=0