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Review the unit circle definition of the trigonometric functions. Skip to main content If you're seeing this message, it means we're having trouble loading external resources on our website.
Learn about the unit circle and its trigonometric functions with Khan Academy's free online resources.
Learn about trigonometric functions and the unit circle with Khan Academy's free online resources.
Practice your understanding of the unit circle definition of sine and cosine. Skip to main content If you're seeing this message, it means we're having trouble loading external resources on our website.
Discover how to measure angles, distances, and heights using trigonometric ratios and the unit circle. Learn how to use sine, cosine, and tangent to solve real-world problems involving triangles and circular motion.
Unit 15. Analytic geometry. Unit 16. Geometric constructions. Unit 17. Miscellaneous. Math; Geometry (all content) Unit 14: Circles. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer today! Site Navigation. About. News; Impact;
Learn how to use the unit circle to define sine, cosine, and tangent for all real numbers.
Course: Algebra 2 > Unit 11. Lesson 7: Transforming sinusoidal graphs. Amplitude & period of sinusoidal functions from equation. Transforming sinusoidal graphs: vertical stretch & horizontal reflection. Transforming sinusoidal graphs: vertical & horizontal stretches.
The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin(x) using the unit-circle definition of sin(x).
Math: Pre-K - 8th grade; Pre-K through grade 2 (Khan Kids) Early math review; 2nd grade; 3rd grade; 4th grade; 5th grade; 6th grade; 7th grade; 8th grade; 3rd grade math (Illustrative Math-aligned)