Question

if f(x)=log(tan x) then (π/4)=​

Answer 1

SOLUTION

GIVEN

$\displaystyle \sf{f(x) = log( \tan x) }$

TO DETERMINE

$\displaystyle \sf{f \bigg( \frac{\pi}{4} \bigg) }$

EVALUATION

Here it is given that

$\displaystyle \sf{f(x) = log( \tan x) }$

Now

$\displaystyle \sf{f \bigg( \frac{\pi}{4} \bigg) }$

$\displaystyle \sf{ = log \: \bigg( \tan \: \frac{\pi}{4} \bigg) }$

$\displaystyle \sf{ = log \: 1 }$

$= 0$

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