How can I solve this??

tan^(-1)((4x)/sqrt(1-4x^2))=?

1 Answer
Dec 22, 2017

See below.

Explanation:

Assuming that the question reads

tan^(-1)((4x)/sqrt(1-(4x)^2))=y we have

(4x)/sqrt(1-(4x)^2)=tany and also

(4x)^2/(1-(4x)^2) = sin^2y/cos^2y = tan^2y

and then

4x=pm sin y and finally

x = 1/4 sin y