The unit circle and trigonometric functions go hand-in-hand. Each angle on the unit circle creates a point for a trigonometric function using the angle and function-related point value. First we will look at the sine curve and how it can be graphed using the unit circle. We have learned that sin t = y. This means that for each angle, the y-value of its related point is the y- coordinate in a point on the graph of f(x) = sin x. For example, the point associated with the angle, %3D is 6' %3D - G). So, f () = sin" = Therefore, the related point on the graph of f(x) = sin x is (",). %D 6. Let's try a few... 0 = 0: The point associated with the angle, 0 radians, is (1,0). So, f(0) = sin 0 = 0. Therefore, the point associated with the angle, 0, is (0,0). %3D

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter1: Trigonometry
Section1.3: Right Triangle Trigonometry
Problem 1E: Match each trigonometric function with its right triangle definition....
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The unit circle and trigonometric functions go hand-in-hand. Each angle on the unit circle creates a point for a
trigonometric function using the angle and function-related point value. First we will look at the sine curve and
how it can be graphed using the unit circle.
We have learned that sin t = y. This means that for each angle, the y-value of its related point is the y-
coordinate in a point on the graph of f(x) = sin x. For example, the point associated with the angle,
%3D
is
6'
%3D
-
G). So, f ()
= sin" = Therefore, the related point on the graph of f(x) = sin x is (",).
%D
6.
Let's try a few...
0 = 0: The point associated with the angle, 0 radians, is (1,0). So, f(0) = sin 0 = 0. Therefore, the point
associated with the angle, 0, is (0,0).
%3D
Transcribed Image Text:The unit circle and trigonometric functions go hand-in-hand. Each angle on the unit circle creates a point for a trigonometric function using the angle and function-related point value. First we will look at the sine curve and how it can be graphed using the unit circle. We have learned that sin t = y. This means that for each angle, the y-value of its related point is the y- coordinate in a point on the graph of f(x) = sin x. For example, the point associated with the angle, %3D is 6' %3D - G). So, f () = sin" = Therefore, the related point on the graph of f(x) = sin x is (",). %D 6. Let's try a few... 0 = 0: The point associated with the angle, 0 radians, is (1,0). So, f(0) = sin 0 = 0. Therefore, the point associated with the angle, 0, is (0,0). %3D
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