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How to draw a triangle using a central angle with a point not on the unit circle

1,975 views · Published 8 November 2012 · 3:10 · Indexed 27 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on the unit circle otherwise a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the x-axis is drawn such that the reference angle is at the origin. 

The x-coordinate of the given point represents the adjacent of the reference angle while the y-coordinate represent the opposite of the given point. Using the Pythagoras theorem, we can obtain the hypotenuse of the right triangle. Having the opposite, the adjacent and the hypothenuse of the reference angle of the right triangle, we can then use the SOHCAHTOA principle to evaluate the six trigonometric functions accordingly.

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Organized Videos:
✅ Evaluate the Trigonometric Functions With Triangles
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpL-gBoO-oUcgfESuGouwt1
✅ Evaluate Trig Functions Using Special Right Triangles
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqeZEkcEqjW4ULIDrp3Tv9b
✅ Evaluate the Six Trig Functions Given Right Triangle
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr1UW78F2In_OGR3MaaJ4ym
✅ Evaluate the Six Trig Functions Given Equations
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpICVpjVGcVH9RQxh4rrpTK
✅ Evaluate Trig Functions from a point | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMruA-hHsUBqd9w9MZnna8Uo
✅ Evaluate the six Trig Functions given a point
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrGKkeI5vnQ2ygIh_UIKUF1
✅ Determine the Quadrant Given Constraints
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrEMHVH_uzY3J_yYZbd6Wfc
✅ Evaluate the trigonometric function with constraint
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMonO8-XMTKTlKXqK2-7xQiG

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