Question

prove that sin⁶0 + cos⁶ 0 = 1 - 3 sin²0 cos²0

(0 is theta)​

Answer 1

Step-by-step explanation:

In LHS

sin⁶0 + cos⁶0

(sin²0)³ + (cos²0)³

We know that,

a³ + b³ = (a+b)³ - 3ab(a+b)

So,

(sin²0 + cos²0)³ - 3sin²0cos²0(sin²0 + cos²0)

1 - 3 sin²0 cos²0 = RHS

PROVED ...

Answer 2

Answer:

prove that sin⁶0 + cos⁶ 0 = 1 - 3 sin²0 cos²0

(0 is theta)