$(cos A + sin A)^{2} - (cos A - sin A)^{2}$ is equal to

- 1

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2

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0

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None of the above

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Solution

The correct option is B None of the above

Expanding the given expression we get

$(cos A + sin A)^{2} - (cos A + sin A)^{2}$

$= cos A^{2} + sin A^{2} + 2 cos A sin A - (cos A^{2} + sin A^{2} - 2 cos A sin A)$

$= 2 (2 cos A sin A)$

$= 4 cos A sin A$

Hence, option D is correct.

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