All Precalculus Resources
Example Question #1 : Angles In The Coordinate Plane
Convert radians to degrees.
Write the conversion factor between radians and degrees.
Cancel the radians unit by using dimensional analysis.
Example Question #2 : Angles In The Coordinate Plane
Convert to degrees.
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 in degres made in the plane by connecting a line segment from the origin to .
Firstly, since the point is in the 3rd quadrant, it'll be between and . If we take to be the horizontal, we can form a triangle with base and leg of values and . Solving for the angle in the 3rd quadrant given by ,
Since this angle is made by assuming to be the horizontal, the total angle measure is going to be:
Example Question #4 : Angles In The Coordinate Plane
Find the degree measure of radians. Round to the nearest integer.
In order to solve for the degree measure from radians, replace the radians with 180 degrees.
The nearest degree is .
Example Question #4 : 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 . What is the value of the second largest angle in degrees?
A triangle has three angles that will add up to degrees.
Convert the radians angle to degrees by substituting for every .
The third angle is 60 degrees.
Let the second angle be . The first angle three times the value of the second angle is . Set up an equation that sums the three angles to .
Solve for .
Substitute for the first angle and second angle.
The second angle is:
The first angle is:
The three angles are:
The second highest angle is: