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Trigonometry

Complementary: Angle + Angle = 90°

Supplementary: Angle + Angle = 180°

Exterior and Interior angles are equal

Sum of Angles in a Triangle is 180°

Trigonometric Functions

Acute Angles and Right Triangles

Radian angle =θ(arc length/ radius)

Radian Measure and the Unit Circle

Graphs of the Circular Functions

Period for Sin/Csc and Cos/Sec functions: 2π/B

Period for Tan and Cot functions: π/B

Trigonometric Identities

A function is defined as even if the function of a negative is equal to the function of positive. (Ex: Cos, Sec)

A function is defined as odd if the function of a negative is equal to the negative function of positive. (Sin, Csc, Tan, Cot)

Conditional: Equations satisfied by some values and not by others.

If b is a solution to cos (b) = 0, so is -b, and so is any multiple 2π plus a solution.

Inverse Circular Functions and Trigonometric Equations

Use Law of Sines when given two angles and a non-included side.

Use Law of Cosines when given two sides and an included side or three sides.

Applications of Trigonometry and Vectors

Complex Numbers, Polar Equations, and Parametric Equations

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