Math Problem Statement
What is the reference angle for 150 degrees
Solution
The reference angle is the acute angle formed between the terminal side of a given angle and the x-axis. For an angle in standard position, the reference angle is always positive and less than or equal to 90°.
For 150°, which lies in the second quadrant, the reference angle is calculated by subtracting the angle from 180°:
So, the reference angle for 150° is 30 degrees.
Would you like further details on this? Here are some related questions:
- What is the reference angle for 210 degrees?
- How do you find the reference angle for an angle in radians?
- What is the reference angle for negative angles, like -120 degrees?
- How does the quadrant affect the calculation of the reference angle?
- What is the reference angle for 315 degrees?
Tip: The reference angle is always measured from the terminal side of the angle to the x-axis, regardless of the quadrant.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Reference Angles
Angles in Quadrants
Formulas
Reference angle = 180° - given angle (for angles in the second quadrant)
Theorems
Reference Angle Theorem
Suitable Grade Level
Grades 9-12