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How do you solve $arctan (2 x - 3) = \frac{π}{4}$ $arctan(2x-3)=pi/4$ ?

1 Answer

Shwetank Mauria

Sep 20, 2016

$x = 2$ $x=2$

Explanation:

As $arctan (2 x - 3) = \frac{π}{4}$ $arctan(2x-3)=pi/4$

$tan (\frac{π}{4}) = 2 x - 3$ $tan(pi/4)=2x-3$

or $2 x - 3 = 1$ $2x-3=1$

or $2 x = 1 + 3 = 4$ $2x=1+3=4$

Hence $x = 2$ $x=2$

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