Find the reference angle for the angle 6.1 radians. Round your answer to one decimal place.
A) -3.0
B) -0.2
C) 3.0
D) 0.2
E) -12.4

Question

Quizplus · Accepted Answer

To find the reference angle, we need to find the acute angle that the terminal side of the given angle makes with the x-axis.

Since 6.1 radians is greater than $2\pi$ (which represents one full revolution around the unit circle), we need to find the equivalent angle that is less than one full revolution. To do this, we can subtract $2\pi$ from 6.1 radians:

$6.1 - 2\pi \approx 0.2$

So the equivalent angle to 6.1 radians that is between 0 and $2\pi$ is approximately 0.2 radians.

The reference angle is the acute angle between the terminal side of the angle and the x-axis. In this case, that angle is the same as the angle between the terminal side and the positive x-axis (since the angle is in the first quadrant). Therefore, the reference angle is approximately 0.2 radians.

Since the answer is rounded to one decimal place, the correct answer is D) 0.2.

Find the Reference Angle for the Angle 6