Question

plz solve the problem

Answer 1

Please mark as brainliest

Answer 2

Given LHS= sin^4theta - cos^4theta + 1

We know that a^2 - b^2 = (a + b)(a - b), Then a^4 - b^4 = (a^2 + b^2)(a^2 - b^2)

(sin^2theta + cos^2theta)(sin^2theta - cos^2theta) + 1

(1) (sin^2theta - cos^2theta) + 1

sin^2theta - cos^2theta + 1

We know that 1 - sin^2theta = cos^2 theta

sin^2theta - (1 - sin^2theta) + 1

sin^2theta - 1 + sin^2theta + 1

2sin^2theta.


LHS = RHS


Hope this helps!