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By using the formula, the value of \( \Large \left(\sin \theta +\cos \theta \right)^{2}+ \left(sin \theta - \cos \theta \right)^{2} \) is

A) 1
B) 2
C) 3
D) 4

Correct Answer:


B) 2

Description for Correct answer:
\( \Large \left(\sin \theta +\cos \theta \right)^{2}+ \left(\sin \theta - \cos \theta \right)^{2} \)

=\( \Large \left(\sin^{2} \theta +\cos^{2} \theta +2\sin \theta . \cos \theta \right)+ \left(\sin^{2} \theta + \cos^{2} \theta - 2\sin \theta . \cos \theta \right) \)

=\( \Large 1 + 2\sin \theta . \cos \theta + 1 - 2\sin \theta . \cos \theta \)

= 2

Part of solved Trigonometry questions and answers : >> Elementary Mathematics >> Trigonometry

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