How do you calculate $arctan (1)$ $arctan(1)$ ?

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How do you calculate $arctan (1)$ $arctan(1)$ ?

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Answer 1 · 2015-11-28T12:27:07

$arctan (1) = \frac{π}{4} (= 45^{\circ})$ $arctan(1)=pi/4 (=45^@)$

Explanation:

$arctan$ $arctan$ is by definition a value in the range $(- \frac{π}{2}, + \frac{π}{2})$ $(-pi/2,+pi/2)$

If $arctan (1) = θ$ $arctan(1)=theta$
then $tan (θ) = 1$ $tan(theta)=1$

This means that a standard trigonometric triangle will have opposite and adjacent sides of equal length.
(since by definition $tan = \frac{opposite}{adjacent}$ $tan=("opposite")/("adjacent")$ )

$\Rightarrow θ = \frac{π}{4}$ $rArr theta = pi/4$
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How do you calculate $arctan (1)$ $arctan(1)$ ?

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How do you calculate arctan(1)arctan(1)?

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How do you calculate $arctan (1)$ $arctan(1)$ ?