Scroll down the page for more examples and solutions on the unit circle and trigonometry. Learn how to use a unit circle to help you understand and calculate lengths and angles with our examples. The following diagram shows the unit circle definition of the trig functions: sin, cos, and tan. A unit circle is a circle with a radius of one. Thus, the definition is y = sine and x = cosine. Since the radius (and therefore hypotenuse of the right triangle) is 1, the denominators cosine = adjacent/hypotenuse and sine = opposite/hypotenuse are also 1. The point where the terminal side intersects the unit circle (x, y) is the basis for this definition. The right triangle definitions of sine and cosine only apply to acute angles, so a more complete definition is needed. 3 Phases of the Unit Circle 4 The Unit Dollar 5 Unit Circle Alien 6 Unit Circle Pi-cycle 7 Unit Circle Ferris Wheel 8 Unit Circle Saw Blade 9 More Activities for Teaching Trigonometry After years of seeing other teachers share pictures of the unit circle projects their students created, I decided to finally take the plunge. Examples, solutions, videos, worksheets, games, and activities to help Algebra II students learn the unit circle definition of trigonometric function.
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