MATH 2412 Precalculus
North Lake College
David Katz, instructor
Section by Section List of Test Topics For Exam #5 (Chapter 7)
The exam will consist of 10 multiple-choice questions from this list of 35 topics from your homework sections.
(7-1) Write a trig expression in terms of sine and cosine
(7-1) Use the Pythagorean identities to simplify a trig expression
(7-1) Use the odd/even identities to simplify a trig expression
(7-1) Use the reciprocal identities to simplify a trig expression
(7-2) Use the addition/subtraction identities to simplify a trig expression
(7-2) Determine the exact value of a trig expression by using the addition/subtraction identities
(7-3) Use the double-angle identities to solve a trig equation
(7-3) Use the half-angle identities to solve a trig equation
(7-3) Determine the exact value of a trig expression by using the double-angle identities
(7-3) Determine the exact value of a trig expression by using the half-angle identities
(7-3) Use the power-reducing identities to simplify a trig expression
(7-4) Know the domain and range of the inverse sine, cosine, and tangent trig functions
(7-4) Determine the exact value of an inverse trig expression
(7-5) Solve a trig equation by simplifying the equation to one of the basic trig functions (sine, cosine, or tangent)
(7-5) Solve a trig equation in quadratic form by factoring or quadratic formula
(7-5) Know how to describe the infinite solution set to a trig equation
(7-5) Know how to locate all solutions to a trig equation over a specified interval
(7-6) Convert a complex number in rectangular form (a + bi) to trig/polar form (r cis q)
(7-6) Convert a complex number in trig form to rectangular form
(7-6) Multiply two complex numbers in trig form
(7-6) Divide two complex numbers in trig form
(7-6) Raise a complex number to a specified power using DeMoivre's Theorem
(7-6) Locate the n roots of a complex number using DeMoivre's Theorem
(7-6) Solve simple polynomial equations of the form zn = k for all n roots/zeros, both real and complex.
(7-7) Add or subtract two vectors
(7-7) Multiply a vector by a scalar (constant) number
(7-7) Compute the magnitude of a vector
(7-7) Determine the horizontal component of a vector
(7-7) Determine the vertical component of a vector
(7-8) Compute the dot product of two vectors
(7-8) Use the dot product to determine the angle between two vectors
(7-8) Use the dot product to determine if two vectors are orthogonal (perpendicular)
(7-8) Use the dot product to determine the component of one vector along another vector
(7-8) Use the dot product to determine the projection of one vector onto another vector (Note: the projection is another vector)
(7-8) Use the dot product to compute total work done