Question

The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?

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Answer 1

Answer:

29/24π

Step-by-step explanation:

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

In this problem, we are looking for a coterminal angle that is between

0 and 2π, so we will add 2π to −19/24π.

−19/24π+2π

=

−19/24π+48/24π

=

29/24π

29/24π

is the answer to the question.

Answer 2

$\frac{11\pi }{4}$ is the coterminal between of $\frac{19\pi }{4}$ between (0, 2$\pi$).

What is coterminal angle?

Coterminal angles are the angles that have the same initial side and share the terminal sides.

How to find the coterminal angles?

To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.

According to the given question.

We have

Angle = $\frac{19\pi }{4}$

Since, the coterminal angle is to be between 0 and 2π.

Therefore, we subtract 2π from $\frac{19\pi }{4}$to get coterminal angle.

⇒ $\frac{19\pi }{4} -2\pi$ $= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}$

Hence, $\frac{11\pi }{4}$ is the coterminal between of $\frac{19\pi }{4}$ between (0, 2$\pi$).

Find out more information about coterminal angle here:

https://brainly.com/question/23093580

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