Question

cos⁸ theta - sin⁸ theta =​

Answer 1

Answer:

This answer is (cos theta + sin theta) (cos theta - sin theta)

Step-by-step explanation:

cos⁸ theta - sin⁸ theta

=> (cos⁴ theta)² - (sin⁴ theta)²

=> (cos⁴ theta + sin⁴ theta) (cos⁴ theta - sin⁴ theta)

[We Know, a² - b² = (a+b) (a-b) ]

=> 1 × {(cos² theta)² - (sin² theta)²} [We Know, (cos² theta + sin² theta) = 1 ; then (cos⁴ theta + sin⁴ theta)= 1 ]

=> (cos² theta + sin² theta) (cos² theta - sin² theta)

[We Know, a² - b² = (a+b) (a-b)]

=> 1 × {(cos theta)² - (sin theta)²} [We Know, (cos² theta + sin² theta) = 1]

=> (cos theta + sin theta) (cos theta - sin theta)

[We Know, a² - b² = (a+b) (a-b)]