Question
Find the reference angle for the angle \( 303^{\circ} \). The reference angle is \( \square^{\circ} \). (Type an integer or a decimal.)
Ask by Cole May. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The reference angle is \(57^\circ\).
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To find the reference angle for \( 303^{\circ} \), we first determine in which quadrant the angle lies. Since \( 303^{\circ} \) is greater than \( 270^{\circ} \) but less than \( 360^{\circ} \), it is in the fourth quadrant. The reference angle can be found by subtracting \( 303^{\circ} \) from \( 360^{\circ} \): \[ 360^{\circ} - 303^{\circ} = 57^{\circ} \] So, the reference angle is \( 57^{\circ} \). In summary, the reference angle is \( 57^{\circ} \).