Verify the given identity.
$$\frac { \cos u - \cos v } { \cos u + \cos v } = - \tan \frac { 1 } { 2 } ( u + v ) \tan \frac { 1 } { 2 } ( u - v )$$

Name: Verify the given identity. \[\frac { \cos u - \cos v } { \cos u + \cos v } = - \tan \frac { 1 } { 2 } ( u + v ) \tan \frac { 1 } { 2 } ( u - v )\]
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The Answer of Verify the given identity.
$$\frac { \cos u - \cos v } { \cos u + \cos v } = - \tan \frac { 1 } { 2 } ( u + v ) \tan \frac { 1 } { 2 } ( u - v )$$

Verify the Given Identity cos⁡u−cos⁡vcos⁡u+cos⁡v=−tan⁡12(u+v)tan⁡12(u−v)\frac { \cos u - \cos v } { \cos u + \cos v } = - \tan \frac { 1 } { 2 } ( u + v ) \tan \frac { 1 } { 2 } ( u - v )cosu+cosvcosu−cosv​=−tan21​(u+v)tan21​(u−v)

Verify the Given Identity $\frac { \cos u - \cos v } { \cos u + \cos v } = - \tan \frac { 1 } { 2 } ( u + v ) \tan \frac { 1 } { 2 } ( u - v )$