Simplify (sic) #tan 2x# ?

1 Answer
Feb 5, 2018

#tan2x =(2tanx)/ (1-tan^2x)#

Explanation:

By 'simplify' I assume you mean expressing #tan2x# in terms of #tanx#

Using the identity: #tan(alpha+beta)= (tan(alpha)+tan(beta))/(1-tan(alpha)tan(beta))#

Let #alpha=beta=x#

#tan(x+x)= (tan(x)+tan(x))/(1−tan(x)tan(x))#

#tan2x =(2tanx)/ (1-tan^2x)#