Master trigonometry concepts, solve problems with triangles, graph functions, and explore equations for advanced math and science studies on Khan Academy.

Let's extend trigonometric ratios sine, cosine, and tangent into functions that are defined for all real numbers. You might be surprised at how we can use the behavior of those functions to model real …

Knowing trig identities is one thing, but being able to prove them takes us to another level. In this unit, we'll prove various trigonometric identities and define inverse trigonometric functions, which allow us …

Sal determines the quadrant at which a ray falls after a rotation by a certain measure of radians.

Explore the world of trigonometry by mastering right triangles and their applications, understanding and graphing trig functions, solving problems involving non-right triangles, and unlocking the power of …

Trigonometric functions of sum and difference of two angles This lesson covers skills from the following lessons of the NCERT Math Textbook: (i) 3.4 - Trigonometric functions of sum and difference of two …

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 …

In this video, we're given that sin (x) = 1/4 and x is in the second quadrant. We use identities to form and solve quadratic equations to get the half angle ratios. We get 2 solutions out of which only one …

In the first quadrant (0 to 90 degrees), both sine and cosine are positive because we're moving right and up from the origin. In the second quadrant (90 to 180 degrees), cosine becomes negative (as we're …

While the unit circle provides an intuitive geometric interpretation of trigonometric functions, it's not necessary for performing trigonometric calculations. In practice, calculators and trigonometric tables …