Question

sinteta - cos teta=0....find sin4teta+cos4teta( 4 is power )

Answer 1

Answer:

1/2

Step-by-step explanation:

given sin θ - cos θ = 0

squaring on both sides

sin²θ + cos ²θ - 2sinθcosθ = 0

 1 - 2sinθcosθ = 0

sinθ cosθ = 1/2

sin⁴ θ + cos ⁴ θ = (sin ² θ + cos ²θ)² - 2sin ²θ cos²θ

                         =  1 - 2( sinθcosθ) ²

                         = 1 - 2(1/2)²

                         =  1 - 1/2

               = 1/2