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

Its A

Explanation:

edge

Answer 2

The co-terminal angle of
`(3\pi)/(4)\ \text{radians}` is
`-(5\pi)/(4)\ \text{radians}`.

Explanation:

The angle provided is,
`(3\pi)/(4)\ \text{radians}`.

Convert the angle into degrees as follows:

`(3\pi)/(4)\ \text{radians}=(3*180^(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
`(3\pi)/(4)\ \text{radians}` as follows:

`\text{Co-terminal Angle}=(3\pi)/(4)+2\pi`

`=(3\pi+8\pi)/(4)\\\\=(11\pi)/(4)`

`\text{Co-terminal Angle}=(3\pi)/(4)-2\pi`

`=(3\pi-8\pi)/(4)\\\\=-(5\pi)/(4)`

Thus, the co-terminal angle of
`(3\pi)/(4)\ \text{radians}` is
`-(5\pi)/(4)\ \text{radians}`.