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(sin A + cos A)^2 is equal to _____(a) 1 + 2sin A cos A(b) 1 – 2sin A cos A(c) 2sin A cos A – 1(d) 2sin A cos A + 1This question was addressed to me in an international level competition.The origin of the question is Trigonometric Identities in portion Trigonometry of Mathematics – Class 10

Answer»

Correct OPTION is (a) 1 + 2sin A COS A

Easiest EXPLANATION: (sin A + cos A)^2 = sin^2 A + cos^2 A + 2sin A cos A

= 1 + 2sin A cos A



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