To help you review for your end-of-semester exam, I have prepared 2 quizzes that may be taken a maximum of 2 times each. The quizzes may be taken in any order.
So study for the quiz, take it once, go back and study what you missed, and then take the quiz again if you need to. Only the final take will count for a grade.
The exam will be comprehensive over Chapters 5 and 6.
Quiz 1: Chapter 5
Objectives
- Determine the six trigonometric ratios for an acute angle of a right triangle. (5.1)
- Given one function value, find the other five. (5.1)
- Determine trigonometric values for angles of 30, 45, and 60 degrees. (5.1)
- Find the function values of the complement of an angle given the function values of the angle. (5.1)
- Solve right triangles given certain information. (5.2)
- Solve angle of elevation/depression problems (5.2)
- For a given angle, find its coterminal angles and its complement and supplement. (5.2)
- Find function values given the coordinates of a point on the terminal side of the angle. (5.3)
- Use reference angles to find trigonometric function values. (5.3)
- Find an angle given a trigonometric function value and quadrant restriction. (5.3)
- Find points given in radian measure on the unit circle. (5.4)
- Find coterminal angles, complements, and supplements of angles given in radian measure. (5.4)
- Convert between radian and degree measure. (5.4)
- Find arc lengths and central angles (5.4)
- Find amplitude, period, & phase shift of sine & cosine functions, & use them to graph the functions. (5.6)
Make sure to memorize…
- The basic trig function values of an acute angle (defn of sine, cosine, etc.) (5.1)
- Co-function identities (5.1)
- Trig functions of any angle (5.3, pg 463)
- Converting between degree and radian measure (5.4)
- Defn of radian measure (pg 482)
- Defn of amplitude, period, phase shift (see pg 516 for a review)
Quiz 2: Lessons 6.1 – 6.2
Objectives
- Simplify and manipulate expressions containing trigonometric expressions. Be able to factor using the GCF, FOIL, and Difference of two squares. (6.1)
- Use the sum and difference identities to find function values. (6.1)
- Use cofunction identities to find function values and derive other identities. (6.2)
- Use double-angle identities to find function values. (6.2)
- Use half-angle identities to find function values. (6.2)
- Simplify trigonometric expressions using the double-angle and half-angle identities. (6.2)
Make sure to memorize…
- Pythagorean Identities
- Sum and Difference Identities for Sine and Cosine
- Cofunction Identities
- Double-Angle identities for sine and cosine