How can I solve this??

Question

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

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Answer 1 · 2017-12-22T09:10:32

See below.

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#