Course 04 · Advanced

Trigonometry

The bridge between algebra and calculus.

Overview

What this course covers.

Trigonometry introduces periodic functions, the unit circle, and identities that appear throughout calculus. Mastering this course is one of the highest-leverage moves a pre-calculus student can make.

PrerequisitesAlgebra 2.

Next CourseAP Precalculus →

Try a sample problem

Test the waters.

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Problem

What is sin(30°)?

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Curriculum

Topics & units.

Unit 1

Right Triangle Trig

›SOH-CAH-TOA
›Special right triangles (30-60-90, 45-45-90)
›Inverse trig functions
›Applications: angles of elevation & depression

Unit 2

Unit Circle

›Radian measure
›Unit circle (all quadrants)
›Reference angles
›Evaluating trig functions exactly

Unit 3

Graphs & Identities

›Graphs of sin, cos, tan
›Amplitude, period, phase shift
›Pythagorean identities
›Sum & difference formulas

Unit 4

Advanced Topics

›Double & half angle formulas
›Law of Sines & Cosines
›Polar coordinates
›Parametric equations (intro)

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