Question

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

Answer 1

Answer:

$\checkmark$ $\sin\theta=-\frac{\sqrt{2}}{2}$

$\checkmark$ $\tan \theta = -1$

$\checkmark$ The measure of the reference angle is $45^{\circ}$

Step-by-step 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: $\frac{7\pi}{4}=315^{\circ}$, use $\pi=180^{\circ}$ to convert to degrees)

Answer 2

Step-by-step explanation:

Convert 7π/4 to degrees

You'll have 315°

Reference angle is the angle that a given angle makes with the abscissa or x-axis.

360-315 = 45°

THE MEASURE OF THE REFERENCE ANGLE IS 45°

C and D are correct also