Evaluating Trigonometric Functions at Important Angles
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More Lessons for Grade 6
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In this lesson we will look at how to use the unit circle and reference angles to find some values for different trigonometric functions.
Evaluating Trigonometric Functions at Important Angles, Ex 1
How to use the unit circle and reference angles to find some values for different trig functions?
Examples:
Evaluate:
(a) sin(π/6)
(b) tan(-5π/3)
(c) cos(π/4)
(d) sec(π4)
(e) sin2(π/6) + cos2(π/4) + tan2(-5π/3)
Evaluating Trigonometric Functions at Important Angles, Ex 2
Examples:
Evaluate:
(a) cos(45°)
(b) sin (150°)
(c) tan (225°)
(d) csc (150°)
Evaluating Trigonometric Functions Using the Reference Angle, Example 1
This video reviews the unit circle in quadrant 1 and discusses how to use the reference angle to evaluate some trig functions.
The reference angle is the angle formed by the terminal ray of the original angle and the x-axis.
Examples:
Evaluate:
(a) cos (210°)
(b) tan (-45°)
Evaluating Trigonometric Functions Using the Reference Angle, Example 2
This video discusses how to use the reference angle to evaluate some more trig functions.
Evaluate
(c) sec(-π/3)
(d) csc(7π/6)
More Lessons for Grade 6
Math Worksheets
In this lesson we will look at how to use the unit circle and reference angles to find some values for different trigonometric functions.
Evaluating Trigonometric Functions at Important Angles, Ex 1
How to use the unit circle and reference angles to find some values for different trig functions?
Examples:
Evaluate:
(a) sin(π/6)
(b) tan(-5π/3)
(c) cos(π/4)
(d) sec(π4)
(e) sin2(π/6) + cos2(π/4) + tan2(-5π/3)
Examples:
Evaluate:
(a) cos(45°)
(b) sin (150°)
(c) tan (225°)
(d) csc (150°)
This video reviews the unit circle in quadrant 1 and discusses how to use the reference angle to evaluate some trig functions.
The reference angle is the angle formed by the terminal ray of the original angle and the x-axis.
Examples:
Evaluate:
(a) cos (210°)
(b) tan (-45°)
This video discusses how to use the reference angle to evaluate some more trig functions.
Evaluate
(c) sec(-π/3)
(d) csc(7π/6)
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