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Double angle formula

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Please prove the following identity without using the quotient identity:
sin(2x)/cos(2x) = 2tan(x)/1-tan²(x)

I need to use the double angle formulas for sine and cosine.

© BrainMass Inc. brainmass.com September 25, 2018, 10:46 pm ad1c9bdddf - https://brainmass.com/math/geometry-and-topology/double-angle-formula-21482

Solution Summary

This solution shows how to prove the identity of sin(2x)/cos(2x) = 2tan(x)/1-tan²(x) using double angle formulas.

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