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The trigonometric expression \(\cos 2 A +\sin 2 A\) can be written as

The trigonometric expression \(\cos 2 A +\sin 2 A\) can be written as
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  • A \(\cos A(\cos A-\sin A)\)
  • B \(\cos ^{2} A+\sin 2-2 \sin A \cos A\)
  • C \(2 \sin A \cos A +\cos ^{2} A +\sin ^{2} A\)
  • D \(\cos ^{2} A +\sin ^{2} A -2 \sin A \cos A\)
Correct Answer: Option D
Explanation:
\(\operatorname{Cos} 2 A+\operatorname{Sin} 2 A=\operatorname{Cos}^{2} A-\operatorname{Sin}^{2} A+2 \operatorname{Sin} A \operatorname{Cos} A\)

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