Question

sin power 4 +cos power 4 =1-2sin square a *cosec square a

Answer 1

Hey !!!

sin⁴ ¢ + cos⁴¢ = 1 - 2 sin²¢ cos²¢

from LHS

sin⁴¢ + cos⁴¢

(sin²¢ )² + (cos²¢)²

we know that .

(a + b )² - 2ab = a² + b²

similarly ..

here taking a as sin²¢

and b as cos²¢

hence,

(sin²¢ + cos²¢ )² - 2sin²¢ ×cos²¢

1 - 2 sin²¢ cos²¢

LHS = RHS prooved ♻

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Hope it helps you !!!

@Rajukumar111