Question

If -798 degrees is in standard position, determine a coterminal angle that is between 0 degrees & 360 degrees and state the quadrant in which the terminal side lies.

Answer 1

B.

Explanation:

282 degrees; II

Answer 2

co-terminal angle is 282

angle must lie on fourth quadrant

Explanation:

we are given

angle as

`\theta=-798`

Since, we have to find co-terminal angle

and one complete rotation is 360

so, we will keep adding 360 till we get angle between 0 and 360

`\theta=-798+360`

`\theta=-438`

we will add 360 again

`\theta=-438+360`

`\theta=-78`

Since, it is negative

so, we will add 360 again

`\theta=-78+360`

`\theta=282`

so, co-terminal angle is 282

we can see that

this angle is greater than 270

so, angle must lie on fourth quadrant