Question:

1-tan^2/1+tan^2 = cos^2- sin^2...pls prove?

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1-tan^2/1+tan^2 = cos^2- sin^2...pls prove?

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  1. L.H.S

    1-tan^2                  

    ...............    

    1+tan^2  

                                       1 - sin^2  / cos^2

                                  =    ...................................

                                       1 + sin^2  / cos^2

                                     cos^2 -sin^2 /cos^2

                               =        ...................................

                                      cos^2 + sin^2  / cos^2

                                     cos^2 -sin^2 /cos^2

                              =      ......................................

                                               1 / cos^2

                              =          cos^2 - sin^2 (hence proved)

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