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Multiply; Then Use Fundamental Identities to Simplify the Expression Below (sin⁡x+cos⁡x)(sin⁡x−cos⁡x)( \sin x + \cos x ) ( \sin x - \cos x )

Question 83

Multiple Choice

Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
(sin⁡x+cos⁡x) (sin⁡x−cos⁡x) ( \sin x + \cos x ) ( \sin x - \cos x )


A) 2sin⁡2x−sec⁡2x−tan⁡2x2 \sin ^ { 2 } x - \sec ^ { 2 } x - \tan ^ { 2 } x
B) sin⁡2x−cos⁡2x\sin ^ { 2 } x - \cos ^ { 2 } x
C) 1−2cos⁡2x1 - 2 \cos ^ { 2 } x
D) csc⁡2x−cot⁡2x−2cos⁡2x\csc ^ { 2 } x - \cot ^ { 2 } x - 2 \cos ^ { 2 } x
E) 1−2sin⁡(π2−x) cos⁡x1 - 2 \sin \left( \frac { \pi } { 2 } - x \right) \cos x

Correct Answer:

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