Pre-Calculus 12

Unit 1: Trigonometry

The six trigonometric ratios in radians and degrees, graphing and analyzing trigonometric functions, solving trigonometric equations, and proving trigonometric identities.

• Exact and approximate values of the six ratios
• Finding the other ratios from one

• Graphing and characteristics of sine, cosine, and tangent
• Transformations of trigonometric functions

• Solving trigonometric equations

• Verifying and proving identities
• Sum, difference, and double-angle identities

Unit 2: Relations and Functions

Operations and compositions of functions, transformations and inverses of functions, logarithms and exponential/logarithmic functions and equations, and polynomial, radical, and rational functions.

• Combining functions by operations
• Composition of functions

• Translations of functions
• Stretches of functions
• Reflections of functions
• Combining translations and stretches

• Finding the inverse of a relation
• When an inverse is a function

• Understanding logarithms
• The laws of logarithms

• Graphing exponential functions
• Graphing logarithmic functions
• Solving exponential equations
• Solving logarithmic equations

• Long and synthetic division of polynomials
• Factoring with the factor theorem
• Graphing polynomial functions

• Graphing radical functions
• Graphing rational functions