Question

Which of the following angles has a reference angle of pi/12

Answer 1

The angle that has a reference angle of π/12 is

• -49π/12

How to find the angle

The reference angle is an angle formed between the terminal side of an angle in standard position and the x-axis.

Given an angle in standard position, the reference angle is the acute angle between the terminal side of the angle and the x-axis.

The angle is solved as follows

convert π/12 to degrees = 180/12 = 15. Hence the angle is 15 degrees from the x-axis

• clockwise is positive

• counterclockwise is negative

Lets solve for each option

-49π/12 radian = -49 * 180/12 = -735 degrees. (We solve to get the acute angle)

finding the reference angle of -735

-735 degrees + 360 + 360 = -15 degrees

And -15 degrees = 15 degrees or π/12 in counterclockwise direction

-735 degrees: This means that the angle revolved twice (360 +360 = 720) in counterclockwise direction. hence the reference angle with the x-axis is 15 degrees (720 + 15 = 735)

Answer 2

Given:

`(\pi)/(12)`

Required:

To calculate reference angle

Step-by-step explanation:

`(19\pi)/(12)`

Required answer:

Option B