YOUR TOPIC-BY-TOPIC GUIDE FOR THE ALEKS PIE

COORDINATED WITH

MATH 112: TRIGONOMETRY

Louisiana Tech University

 

Chapter 6:

            Ang:

                        Conversion between degree-minute-second and decimal degree

                        Sketching an angle in standard position

                        Conversion between degree and radian measure

                        Coterminal angles

                        Arcs and central angles of a circle                    

            Val:

                        Trigonometric ratios of a right triangle

                        Common trigonometric values

                        Solving a right triangle

                        Trigonometric values of an angle given a point on its terminal side                      

            Equ:

                        Elementary trigonometric equations: Problem type 1

            Fun:

                        Sketching a sine or cosine function: Problem type 2      

            C&P:

                        Addition and subtraction of complex numbers

                        Multiplication of complex numbers

                        Division of complex numbers

                        Powers of i      

            Ang:

                        Complementary and supplementary angles

            Val:

                        Application problem using right triangle trigonometry

                        Trigonometric values of an angle given its quadrant: Problem type 1

            Fun:

                        Sketching a sine or cosine function: Problem type 1

                        Sketching a sine or cosine function: Problem type 3

                        Sketching a tangent or cotangent function: Problem type 2                    

            Ide:

                        Verifying trigonometric identities: Problem type 1

                        Verifying trigonometric identities: Problem type 2

            Equ:

                        Elementary trigonometric equations: Problem type 2

                        Trigonometric equations involving squared functions: Problem type 1

                        Trigonometric equations involving multiples of an angle

            Fun:

                        Composition of trig functions and inverse trig functions: Problem type 1

                        Composition of trig functions and inverse trig functions: Problem type 2

                        Composition of trig functions and inverse trig functions: Problem type 3

                        Sketching a secant or cosecant function

                        Sketching a tangent or cotangent function: Problem type 1

Chapter 7:

            Equ:

                        Trigonometric equations involving squared functions: Problem type 2

            Val:

                        Trigonometric values of an angle given its quadrant: Problem type 2

                        Finding trigonometric values using sum and difference formulas

                        Evaluating trigonometric functions involving double angles         

            Fun:

                        Inverse trigonometric values     

                        Verifying trigonometric identities: Problem type 3

                        Verifying trigonometric identities: Problem type 4          

            C&P:

                        Complex solutions of a quadratic equation

Equ:                

                        Trigonometric equations involving different functions

                        Trigonometric equations involving sum and difference of angles

                        Trigonometric equations involving double angles

                        Trigonometric equations involving half angles

 

Chapter 8:

            Law:

                        Solving a triangle with the law of sines: Problem type 1

                        Solving a triangle with the law of sines: Problem type 2

                        Solving a triangle with the law of cosines

            C&P:

                        Converting a complex number to trigonometric form

                        De Moivre’s Theorem

                        Plotting a point in polar coordinates