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Range of Trigonometric Ratios from 0 to 90 Degrees

What is arc...

Question

What is $a r c tan (- 1)$ , write your answer in radians in terms of $π$ ?

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Solution

$\frac{3 π}{4}$ radians
Explanation:
$t a n (π - \frac{π}{4}) = t a n (3 \frac{π}{4}) = - 1$ Hence arctan $(- 1) = \frac{3 π}{4}$ radians.

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