intermediate

Trigonometry — Foundations of Right Triangle Trigonometry + 5 more topics

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Course Syllabus

  1. Foundations of Right Triangle Trigonometry
  2. Trigonometric Functions and the Unit Circle
  3. Graphs of Trigonometric Functions
  4. Trigonometric Identities and Equations
  5. Non-Right Triangles: Law of Sines and Cosines
  6. Inverse Trigonometric Functions and Polar Coordinates

Study Notes

Foundations of Right Triangle Trigonometry

When you're working with right triangles, there are three main trigonometric ratios you'll use: sine (sin), cosine (cos), and tangent (tan). These ratios depend on an acute angle within the triangle and the lengths of the sides relative to that angle.

First, let's label the sides of a right triangle with respect to one of its acute angles:
* Hypotenuse: Always the longest side, opposite the right angle.
* Opposite: The side directly across from your chosen acute angle.
* Adjacent: The side next to your chosen acute angle that is not the hypotenuse.

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