Question

If the measure of angle is θ is 7pi/4 , which statements are true?

Answer 1

`\checkmark`
`\sin\theta=-(√(2))/(2)`

`\checkmark`
`\tan \theta = -1`

`\checkmark` The measure of the reference angle is
`45^(\circ)`

Explanation:

The reference angle of an angle is the magnitude of the smallest angle it makes with the x-axis. In this case, we have
`360-315=\boxed{45^(\circ)}` (*Note:
`(7\pi)/(4)=315^(\circ)`, use
`\pi=180^(\circ)` to convert to degrees)