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Prove the Identity sin⁡x+cos⁡xsin⁡x−cos⁡x=1+2sin⁡xcos⁡x2sin⁡2x−1\frac { \sin x + \cos x } { \sin x - \cos x } = \frac { 1 + 2 \sin x \cos x } { 2 \sin ^ { 2 } x - 1 }

Question 108

Essay

Prove the identity.
- sin⁡x+cos⁡xsin⁡x−cos⁡x=1+2sin⁡xcos⁡x2sin⁡2x−1\frac { \sin x + \cos x } { \sin x - \cos x } = \frac { 1 + 2 \sin x \cos x } { 2 \sin ^ { 2 } x - 1 }

Correct Answer:

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\[\begin{array} { l }
\frac { \sin x + ...

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