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Trigonometry

15 topics · study sheets, quizzes, and tests.

Start the course

Go through each topic step by step, with 10 timed practice problems after every section.

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Topics

1.

Core Ideas in Plain Terms

The big trig ideas, in everyday language

2.

Law of Sines and Law of Cosines

Solving oblique triangles: AAS, ASA, SSA, SAS, SSS, area, and applications

3.

Vectors and the Dot Product

Components, magnitude & direction, the dot product, projection, and applications

4.

Polar Coordinates and Complex Numbers

Plotting, conversions, polar graphs, trig form, products, and DeMoivre's Theorem

5.

Angles and Their Measure

Standard position, radians, arc length, sector area, and speed

6.

Angles & Their Measure

no study sheet
7.

Right Triangle Trigonometry

The six ratios, special angles, solving triangles, cofunctions, and applications

8.

The Unit Circle and Circular Functions

Special angles, reference angles, signs, periodicity, even/odd, and terminal points

9.

Graphs of Sine and Cosine

Amplitude, period, phase shift, vertical shift, and modeling

10.

Graphs of the Other Trigonometric Functions

Tangent, cotangent, secant, and cosecant: periods, asymptotes, and transformations

11.

Inverse Trigonometric Functions

Definitions, exact values, compositions, graphs & equations

12.

Trigonometric Identities

Fundamental identities, simplifying, and verifying

13.

Sum, Difference, and Multiple-Angle Formulas

Exact values, double & half-angles, power-reducing, product-to-sum

14.

Trigonometric Equations

Basic equations, factoring, quadratic form, identities, multiple angles, and inverses

15.

Course Review

Every definition, rule, and formula from all twelve topics in one place