Sine Values and Angles
In this math worksheet, students are given 6 unit circles on an x-y axis with a sine value. Students are instructed to plot the sine values and find the angle associated with those points
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Extending the Domain of Sine and Cosine to All Real Numbers
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
10th - 12th Math CCSS: Designed
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
9th - 11th Math CCSS: Adaptable
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
11th - 12th Math CCSS: Designed
The unit circle definition of trigonometric function
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.
9 mins 10th - 12th Math
Find Trigonometric Values for Angles Using Reference Triangles
Put the triangle back in trigonometry, and show learners how the unit circle is built up of right triangles. Taking the skills they know from the first quadrant, the class discovers that these values repeat in all of the quadrants by...
7 mins 9th - 12th Math CCSS: Designed