SOLUTION: Could someone help me with this. Verify the identity. 1 + tanx/ 1-tanx = Cosx + sinx/ Cosx - Sinx

Algebra ->  Trigonometry-basics -> SOLUTION: Could someone help me with this. Verify the identity. 1 + tanx/ 1-tanx = Cosx + sinx/ Cosx - Sinx       Log On


   

Question 968208: Could someone help me with this. Verify the identity.
1 + tanx/ 1-tanx = Cosx + sinx/ Cosx - Sinx
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone help me with this. Verify the identity.
1 + tanx/ 1-tanx = Cosx + sinx/ Cosx - Sinx
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Cross multiply to get:
(1+tan)(cos-sin) = (1-tan)(cos+sin)
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cos-sin+sin-sin^2/cos = cos+sin-sin-sin^2/cos
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Simplify::
cos-sin^2/cos = cos-sin^2/cos
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1 = 1
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Cheers,
Stan H.
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