The unit circle definition allows us to extend the domain of sine and cosine to all real numbers. Sal finds several trigonometric identities for sine and cosine by considering horizontal and vertical symmetries of the unit circle. Learn how to use the unit circle to define sine, cosine, and tangent for all real numbers.
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The unit circle is a circle with a radius of 1 centered at the origin. Discover how to measure angles, distances, and heights using trigonometric ratios and the unit circle. We can use the unit circle to help define the trigonometric functions and visualize their values.
Review the unit circle definition of the trigonometric functions.
The process for determining the sine/cosine of any angle θ is as follows: Explore geometry concepts related to circles, including properties, formulas, and applications, through engaging lessons and exercises on khan academy. Sal shows how, for acute angles, the two different definitions of the trigonometric values (soh cah toa and the unit circle definition) result in the same values. Circles about this unit explore, prove, and apply important properties of circles that have to do with things like arc length, radians, inscribed angles, and tangents.
