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Identify the reference angle for -5π/3 radians.
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The reference angle for -5π/3 radians is π/3 (60 degrees).
Name the components of an angle.
The components of an angle are the initial side, terminal side, and vertex.
What degrees correspond to π/3 radians?
π/3 radians correspond to 60 degrees.
Describe the position of the initial side in the standard position.
In the standard position, the initial side is positioned along the positive x-axis.
Convert 5π/6 radians to degrees and identify the reference angle.
5π/6 radians convert to 150 degrees, with a reference angle of π/6 (30 degrees).
Provide an example of a standard position angle sketch for 60 degrees.
For a 60-degree angle in standard position, rotate counterclockwise from the positive x-axis, starting at the origin and stopping at 60 degrees.
What is the reference angle for 300 degrees?
The reference angle for 300 degrees is 60 degrees.
What is the measure of a full rotation in degrees?
A full rotation measures 360 degrees.
What is a reference angle?
A reference angle is the acute angle between the terminal side and the x-axis, always positive and between 0 and 90 degrees.
Define an acute angle.
An acute angle is an angle that is between 0 and 90 degrees (or 0 and π/2 radians).
Why is understanding reference angles important in trigonometry?
Understanding reference angles is crucial for graphing angles accurately and solving trigonometric problems.
Describe how to determine if an angular measure is positive or negative.
An angle is positive if rotated counterclockwise and negative if rotated clockwise.
How is the reference angle of 120 degrees calculated?
The reference angle is 60 degrees, calculated by 180 - 120 = 60.
What defines a positive angle in terms of rotation?
A positive angle is defined by counterclockwise rotation.
How do you sketch -150 degrees in standard position?
-150 degrees is sketched in standard position with a clockwise rotation, starting with the initial side along the x-axis and ending approximately -150 degrees.
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