Question

Haruto simplified the value below.

Which statement explains whether Haruto is correct?
Haruto is correct because the angle is coterminal with
and the reference angle is
O Haruto is correct because the angle is coterminal with 4 , which is also the reference angle.
O Haruto is not correct because the angle is coterminal with 4, and
O
Haruto is not correct because the angle is coterminal with
and CSC

Answer 1

It's A

Explanation:

Answer 2

"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."

Explanation:

Coterminal angle:

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

Finding if 3pi/4 is coterminal with 19pi/4:

19pi/4

= 16pi/4 + 3pi/4

= 4pi + 3pi/4

= 2(2pi) + 3pi/4

= 2(360°) + 3pi/4

= 3pi/4

Hence they are coterminal.

Reference angle:

The smallest angle that the terminal side makes with x-axis.

3pi/4 falls in second quadrant.

In 2nd quadrant, reference angle is given as = pi - 3pi/4

reference angle = pi/4.