plz solve the problem
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Please mark as brainliest
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ali4249:
thx for the best answer
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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!
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!
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