Math Problem Statement
-\frac{\pi }{6} reference angle
Solution
The reference angle for is found by converting this angle to an equivalent positive acute angle. Here's how it's done:
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Since is negative, add to find its positive coterminal angle:
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Determine the quadrant of :
- is in the fourth quadrant because it's between and .
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To find the reference angle in the fourth quadrant, subtract from :
So, the reference angle for is .
Do you want details or have any questions?
- What are reference angles and how are they used in trigonometry?
- How can I determine reference angles for other negative angles?
- Why are reference angles always positive and acute?
- How do reference angles relate to trigonometric function signs in each quadrant?
- What is the reference angle of an angle in degrees, such as -45°?
Tip: Always add to a negative angle to find a positive coterminal angle easily.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Reference Angles
Angle Measurement
Formulas
Reference angle calculation
Coterminal angles
Theorems
Quadrant determination
Suitable Grade Level
Grades 10-12