Pre-Cal Exam 1

Section 5.1-6.2

Trig Functions of Special Angles

Trig Functions of Quadrantal Angles

Signs of Trig Functions

Special Right Triangles

Unit Circle

Reciprocal Identities

Quotient Identities

Pythagorean Identities

Even-Odd Identities

Sum and Difference Formulas

Double-Angle Formulas

Power-Reducing Formulas

Half-Angle Formulas

The ± symbol in each formula does not mean that there are two possible

values for each function. Instead, the ± indicates that you must determine

the sign of the trigonometric function, + or -, based on the quadrant in which

the half-angle a/2 lies.

Product-to-Sum Formulas

Sum-to-Product Formulas

Law of Sines

The Ambiguous Case (SSA)

• h=bsinA

• One Triangle: a>h & a≥b

• One Right Triangle: a=h

• No Triangle: a<h

• Two Triangles: b>a>h

Area of an Oblique SAS Triangle

Law of Cosines Standard Form SAS

Law of Cos: Alternative Form SSS

Solving an SSS Triangle

Heron’s Formula for the Area of a Triangle