Question

Which angle is coterminal to StartFraction 3 pi Over 4 EndFraction radians? Negative StartFraction 5 pi Over 4 EndFraction radians Negative StartFraction 3 pi Over 4 EndFraction radians StartFraction 5 pi Over 4 EndFraction radians StartFraction 7 pi over 4 EndFraction radians

Answer 1

Answer:

Its A

Step-by-step explanation:

edge

Answer 2

Answer:

The co-terminal angle of $\frac{3\pi}{4}\ \text{radians}$ is $-\frac{5\pi}{4}\ \text{radians}$.

Step-by-step explanation:

The angle provided is, $\frac{3\pi}{4}\ \text{radians}$.

Convert the angle into degrees as follows:

$\frac{3\pi}{4}\ \text{radians}=\frac{3\times180^{o}}{4}=135^{o}$

Co-terminal angles are those angles that share the same terminal and initial sides.

To find the co-terminal angle of a provided angle, we just need to add or subtract 360° or 2π to it.

Determine the co-terminal angle of $\frac{3\pi}{4}\ \text{radians}$ as follows:

$\text{Co-terminal Angle}=\frac{3\pi}{4}+2\pi$

                             $=\frac{3\pi+8\pi}{4}\\\\=\frac{11\pi}{4}$

$\text{Co-terminal Angle}=\frac{3\pi}{4}-2\pi$

                             $=\frac{3\pi-8\pi}{4}\\\\=-\frac{5\pi}{4}$

Thus, the co-terminal angle of $\frac{3\pi}{4}\ \text{radians}$ is $-\frac{5\pi}{4}\ \text{radians}$.