To relate: The slope of a line with angle, using trigonometric function.
The required relation is
Given data: A line with slope m passes through origin. An angle
Method/Formula used:
In
The slope m of a line is defined as the tangent of the angle, the line makes with x - axis.
Calculations:
Suppose POQ is a line segment passing through origin O, making an angle
Let
In right angle triangle
Substitute x for ON and y for PN ,
But by the definition of slope of a line,
Thus,
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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