If fx-logtan x- find f-4

f(x)=logtan x f(π/4)=logtanπ4 f(π/4)=log 1=0 ...

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Definition of Functions

If fx=logta...

Question

If $f (x) = log tan x$ , find $f (π / 4)$

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Solution

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f (x) = 1 + cos x + {cos}^{2} x + \dots \infty

f (x) + f (\frac{π}{2} + x) + f (\frac{π}{2} - x) + f (π - x)

f (x) = \int_{0}^{{sin}^{2} x} {sin}^{- 1} (\sqrt{t}) d t + \int_{0}^{{cos}^{2} x} {cos}^{- 1} (\sqrt{t}) d t

f (x) = \frac{1 - t a n x}{1 - \sqrt{2} s i n x}

x \neq \frac{π}{4}

x = \frac{π}{4}

f (\frac{π}{4})

f (x) = x cos x

f (π) = ?

f (x) = 2 [x] + cos ([- π] x)

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