How do you find an angle between 0 and 2 pi that is coterminal with -19/24 pi express answer in radians?

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How do you find an angle between 0 and 2 pi that is coterminal with -19/24 pi express answer in radians?

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Answer 1 · 2015-09-21T02:43:48

$\frac{29}{24} π$ $29/24pi$

Explanation:

To get coterminal angles, you simply have to add or subtract $2 π$ $2pi$ .

In this problem, we are looking for a coterminal angle that is between $0$ $0$ and $2 π$ $2pi$ , so we will add $2 π$ $2pi$ to $- \frac{19}{24} π$ $-19/24pi$ .

$- \frac{19}{24} π + 2 π$ $-19/24pi+2pi$
$= - \frac{19}{24} π + \frac{48}{24} π$ $=-19/24pi+48/24pi$
$= \frac{29}{24} π$ $=29/24pi$

$\frac{29}{24} π$ $29/24pi$ is the answer to the question.

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How do you find an angle between 0 and 2 pi that is coterminal with -19/24 pi express answer in radians?

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