How do you write tan(2x) in terms of sinx?

1 Answer
Nghi N.
May 17, 2016

tan 2x = ((2sin x)/(1 - 2sin^2 x))sqrt(1 - sin ^2 x)

Explanation:

sin 2x = (sin 2x)/(cos 2x)
Applying the 3 trig identities:
sin 2x = 2sin x.cos x , and
cos 2x = (1 - 2sin^2 x)
cos x = sqrt(1 - sin^2 x)
We get:
tan 2x = (2sin x.cos x)/(1 - 2sin^2 x) =
= ((2sin x)/(1 - 2sin^2 x))sqrt(1 - sin^2 x)

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