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Math Help - Can someone solve this trigonometric identity please?

  1. #1
    s3a
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    Can someone solve this trigonometric identity please?

    Can someone solve this trigonometric identity please?

    Any help would be greatly appreciated!
    Thanks in advance!
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  2. #2
    No one in Particular VonNemo19's Avatar
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    \frac{1}{\cos{6}}-\frac{cos{6}}{1+\sin{6}}

    =\frac{(1+\sin{6})-(\cos^2{6})}{\cos{6}(1+\sin{6})}

    =\frac{\sin^2{6}+\sin{6}}{\cos{6}(1+\sin{6})} Because 1-cos^2=sin^2

    =\frac{\sin{6}(1+\sin{6})}{\cos{6}(1+\sin{6})}

    =\frac{\sin{6}}{\cos{6}}=\tan{6}
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