Question

sin theta minus cos theta equals to zero then what is the value of the expression sin to the power 6 theta + cos to the power 6 theta​

Answer 1

Answer:

1/4

Step-by-step explanation:

let theta = alpha = ∝

sin theta minus cos theta equals to zero

sin∝ - cos∝ = 0

sin∧6∝ + cos∧6∝

= (sin²∝ + cos²∝ ) ( sin∧4∝ + cos∧4∝ - sin²∝ cos²∝ )

= sin∧4∝ + cos∧4∝ - sin²∝ cos²∝

= sin∧4∝ + cos∧4∝ + 2 sin²∝ cos²∝ - 3 sin²∝ cos²∝

= (sin²∝ + cos²∝ )² - 3 sin²∝ cos²∝

= 1 - 3 sin²∝ cos²∝

= 1 - 3 sin∧4∝

= 1 - 3/4

= 1/4

I hope this will help you...