Math 151      Study Guide for Hour Quiz #4       C.S.Davis

You are responsible for the subject matter in the sections below. The following topics are the most important. Typical exercises from Precalculus, 5th edition, by Stewart, Redlin & Watson are assigned at the end of each objective. Work additional exercises if you theed more practice. The answers to the odd numbered problems are in the back of the text.  These exercises are for practice and are not graded.  The problem sets found on the PreCalculus Welcome Page are graded in class.  See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes.

Note: Studying angles (Chapter 6) seems to be an easier place to begin trigonometry than terminal points (Chapter 5), so we have reversed the order of the chapters and begin with Chapter 6.
6.1          Radians are the natural way to measure angles in calculus, so we'll major on radians.       
1. Convert angle measure between radians and degrees.   P474#1,7,15,23
2. Find several angles which are coterminal with a given angle.   P474#25,27,37,43
3. Find the lengths of circular arcs.   P475#49,51,55,73
4. Find the areas of circular sectors.   P475#61,63
6.2          We study fixed right triangles now so that we can study changing right triangles in calculus.
1 Given a right triangle, find the six trigonometric ratios of an acute angle.   P484#1,3,5,7,11,15
2. Given the value of one trig function, find the other five.   P484#17,21
3. Give exact values of trig functions of the special values of pi/6, pi/4, pi/3 in terms of ratios and roots.   P484#23,25
4. Solve for the missing parts of right triangles.  P484#29,31
5. Solve word problems involving right triangles.  P485#45,47,51,59
6.3          Trig functions of angles outside of the first quadrant are useful in electricity applications.          
1. For any angle  θ  in standard position, find the reference angle θ-bar , then find the value of the trig functions of θ.   P496#9,13,21,25,31
2. Write one trig function in terms of another.   P496#37,39,41
2. Given the value of one trig function, find the other five.   P496#43,45,47
3. Find the area of a triangle given some sides and angles.   P496#53
6.4          The law of sines is useful for solving triangles which are not right triangles.
1. Solve triangles using the law of sines.   P506#1,7,17
2. Solve word problems involving applications of the law of sines.   P506#31,33,37
6.5          The law of cosines is also useful for solving triangles which are not right triangles.
1. Solve triangles using the law of cosines.   P513#1,9,19
2. Solve word problems involving applications of the law of cosines.   P514#37,41
5.3          Graphs of trig functions model many repeated patterns, especially in electricity.
1. Perform transformations (reflecting, stretching, translating) on the sine and cosine functions and sketch their graphs.  Find the amplitude, period and phase shift.   P429#1,11,19,27-39odd,38
2. Given a graph of a sine or cosine function, determine its amplitude, period and phase shift and write its equation.   P429#41,43,45
3. Determine an appropriate viewing rectangle and graph sine and cosine functions on the graphing calculator.   P429#41,43,45
4. Use graphing calculator to graph combinations of power, exponential and trig function.   P430#57,59,61
5.4          The graphs of the other four trig functions occur in modeling although less frequently.       
1. Sketch the graphs of the other four trig functions.   P441#1,3,5,7,11,13,15