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Prove the Identity cos⁡xsec⁡x−1−cos⁡xsec⁡x+1=2cos⁡xtan⁡2x\frac { \cos x } { \sec x - 1 } - \frac { \cos x } { \sec x + 1 } = \frac { 2 \cos x } { \tan ^ { 2 } x }

Question 145

Essay

Prove the identity.
- cos⁡xsec⁡x−1−cos⁡xsec⁡x+1=2cos⁡xtan⁡2x\frac { \cos x } { \sec x - 1 } - \frac { \cos x } { \sec x + 1 } = \frac { 2 \cos x } { \tan ^ { 2 } x }

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\[\begin{array} { l }
\frac { \cos x } ...

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