Question

Determine the quadrant in which the terminal side of the given angle lies.
115°

Answer 1

Quadrant 2

Explanation:

Given

`\theta = 115^o`

Required

The quadrant

We have:

`0^o < \theta < 90^o` --- quadrant 1

`90^o < \theta < 180^o` --- quadrant 2

`180^o < \theta < 270^o` --- quadrant 3

`270^o < \theta < 360^o` --- quadrant 4

So, by comparison; we have:

`90^o < \theta < 180^o`

Substitute 115 for
`\theta`

`90^o < 115 < 180^o`

The above is true for quadrant 2