The range of the function 1-tanx/1+tanx???

1 Answer
Abhi N.
May 29, 2018

Range is #R#.

Explanation:

Put #1 = tan (pi/4)#
You will observe that its the formula of tan(A-B).
Simplifying it, you wil have :-

#(1-tanx)/(1+tanx) = tan(pi/4 + x)#

So the function is now reduced to #tan theta#.
And Range of #tan theta# is #R#.
Hence the answer.

Hope it helps :)

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