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MATH 1054 Unit Circle and Special Triangles

Investigate the exact trigonometric values by dragging the green dot around the unit circle.
Find the x and y coordinates for a 60 degree right triangle in the first quadrant. How does this compare to the special right triangle that you explored in the previous activities?

Question 1

Find the x and y coordinates for a 30 degree right triangle in the first quadrant. How does this compare to the special right triangle that you explored in the previous activities?

Question 2

Find the x and y coordinates for a 60 degree right triangle in the first quadrant. How does this compare to the special right triangle that you explored in the previous activities?

Question 3

Find the x and y coordinates for a 45-45-90 triangle in the first quadrant. You may have noticed that these are all the same as our special right triangles from the previous activities… We’ll explore this relationship further in the next activity.