Trigonometry
Trigonometry is where geometry meets algebra in the most beautiful way. At its heart, it’s about one simple question: if you know some measurements of a triangle, can you figure out the rest? The answer is yes—and the tools you’ll learn here (sine, cosine, tangent) turn out to be useful far beyond triangles. They describe anything that repeats: sound waves, light, the motion of planets, even your heartbeat. By the end of this course, you’ll have a new lens for seeing patterns in the world that you couldn’t see before.
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Angles and Their Measurement→
Learn the language of rotation and angular measure
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Right Triangle Trigonometry→
Discover the ratios that unlock triangle measurements
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The Unit Circle→
Extend trigonometry beyond triangles using a circle of radius 1
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Trigonometric Functions and Their Graphs→
See the beautiful wave patterns that sine and cosine create
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Inverse Trigonometric Functions→
Work backwards from ratios to find angles
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Fundamental Trigonometric Identities→
Learn the equations that are always true for any angle
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Sum and Difference Formulas→
Calculate trig values for sums and differences of angles
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Double-Angle and Half-Angle Formulas→
Find trig values for multiples and fractions of angles
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Solving Trigonometric Equations→
Find the angles that make trig equations true
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Law of Sines→
Solve any triangle when you know an angle and its opposite side
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Law of Cosines→
Solve triangles when the Law of Sines doesn't work
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Applications and Vectors→
Apply trigonometry to real-world problems and vector quantities