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Answer:
2(Sin 2 theta +cos 2 theta )=2
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EXPLANATION
Equation =
let theta = A
=> (sinA + cosA) ^2 + (sinA - cosA ) ^2
=> ( sin^2A + cos^2A + 2sinAcosA ) +
(sin^2A + cos^2A - 2 sinAcosA)
=> (1 + 2sinAcosA) + (1 - 2sinAcosA)
1 + 1 = 2
FORMULA USED.
SOME OTHER FORMULA
=> (a^2 + b^2 ) = (a + b)^2 - 2ab
=> (a^2 - b^2 ) = (a - b)^2 + 2ab
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