Objectives (click/tap to expand)
Analyze graphs of tangent, cotangent, secant and cosecant
Solve a trigonometric equation algebraically
Solve a trigonometric equation graphically
Solve applications
Now that you know how to graph the sin and cos functions, start learning how to graph the tan, sec, cot, and csc functions.
Solving trigonometric equations, both without and with a calculator.
This assessment will be all short answer. It will emphasize the more recent topics as listed below, but it's titled Ch. 4.1-4.5 since you need to have a firm grasp of the older stuff in order to understand the newer stuff. Here's a "study guide" of exercises from the book (similar to a study guide you could make for yourself, right?).
Without a calculator, you need to know how to:
Write equations for sinusoids with given amplitude, period, and through-point.
Given the graph of a sinusoid, determine the a, b, h, and k values.
Given an equation for a sinusoid, sketch its graph based on analyzing its transformations
Given the equation of a sinusoid, determine the extrema and x-intercepts
Given the equation of a tangent/cotangent/secant/cosecant function, determine any extrema, x-intercepts, and asymptotes
Find angles & trig functions on the x-y plane (or "unit circle"). Think "Dr. Whelan bow tie."
With a calculator, you need to know how to:
Solve equations using Calc:Zero and/or Calc:Intercept
Go to next page, Chapter 4.6.