Precalculus : Angles in the Coordinate Plane
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Example Questions
Example Question #1 :Find The Degree Measure Of An Angle
Convert
Write the conversion factor between radians and degrees.
Cancel the radians unit by using dimensional analysis.
Example Question #1 :Find The Degree Measure Of An Angle
Convert
Write the conversion factor of radians and degrees.
Substitute the degree measure into
Example Question #3 :Find The Degree Measure Of An Angle
Determine the angle
Assume
Firstly, since the point
Since this angle is made by assuming
Example Question #4 :Find The Degree Measure Of An Angle
Find the degree measure of
In order to solve for the degree measure from radians, replace the
The nearest degree is
Example Question #5 :Find The Degree Measure Of An Angle
Given a triangle, the first angle is three times the value of the second angle. The third angle is
A triangle has three angles that will add up to
Convert the radians angle to degrees by substituting
The third angle is 60 degrees.
Let the second angle be
Solve for
Substitute
The second angle is:
The first angle is:
The three angles are:
The second highest angle is:
Example Question #1 :Angles In The Coordinate Plane
Find the coterminal angle of 15 degrees.
The coterminal angles can be positive or negative. To find the coterminal angles, simply add or subtract 360 degrees as many times as needed from the reference angle.
所有这些角度都是共终端的角度。
Example Question #2 :Find The Measure Of A Coterminal Angle
Of the given answers, what of the following is a coterminal angle of
To find the coterminal angle of an angle, simply add or subtract
These are all coterminal angles to
Out of the given answers,
Example Question #3 :Find The Measure Of A Coterminal Angle
Of the following choices, find a coterminal angle of
In order to find a coterminal angle, simply add or subtract
The possible angles after adding increments of
The possible angles after subtracting decrements of
Out of the given possibilities, only
Example Question #4 :Find The Measure Of A Coterminal Angle
Find the coterminal angle of 15 degrees in standard position from the following answers.
To determine the coterminal angle, simply add or subtract increments or decrements of 360 degrees to the given angle.
For
These angles can all be coterminal to 15 degrees. The only answer is
Example Question #5 :Find The Measure Of A Coterminal Angle
Find the coterminal angle of
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
The only correct answer is
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