Question

Pls Answer asap tomorrow is preboard

Answer 1

Answer:

Given, sin⁴x - cos⁴x = k⁴

=> (sin²x)² - (cos²)² = k⁴

We know, a²-b²= (a-b)(a+b)

=> ( sin²x - cos²x )( sin²x + cos²x ) = k⁴

=>( sin²x - cos²x )(1) = k⁴ (because sin²A+cos²A= 1)

=> ( sin²x - cos²x ) = k⁴