As you progress through a calculus class you will see that almost every calculus problem involves a fair amount of algebra. Likewise, you will find that many topics in a calculus class require you to be able to basic trigonometry. In quite a few problems you will be asked to work with trig functions, evaluate trig functions and solve trig equations. Without the ability to do basic trig you will have a hard time doing these problems. Most of the following set of problems illustrates the kinds of algebra and trig skills that you will need in order to successfully complete any calculus course here at Lamar University.
The algebra and trig in these problems fall into three categories:. Which category each problem falls into will depend on the instructor you have. In my calculus course you will find that most of these problems falling into the first two categories. Depending on your instructor, the last few sections Inverse Trig Functions through Solving Logarithm Equations may be covered to one degree or another in your class.
However, even if your instructor does cover this material you will find it useful to have gone over these sections. In my course I spend the first couple of days covering the basics of exponential and logarithm functions since I tend to use them on a regular basis.
This problem set is not designed to discourage you, but instead to make sure you have the background that is required in order to pass this course. If you have trouble with the material on this worksheet especially the Exponents - Solving Trig Equations sections you will find that you will also have a great deal of trouble passing a calculus course. Please be aware that this problem set is NOT designed to be a substitute for an algebra or trig course.
As I have already mentioned I do not cover all the topics that are typically covered in an Algebra or Trig course. Most of the topics covered here are those that I feel are important topics that you MUST have in order to successfully complete a calculus course in particular my Calculus course. You may find that there are other algebra or trig skills that are also required for you to be successful in this course that are not covered in this review.
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A Book of Abstract Algebra: Here are some examples:. Because the angle is rotating around and around the circle the Sine, Cosine and Tangent functions repeat once every full rotation see Amplitude, Period, Phase Shift and Frequency. It helps us in Solving Triangles. When we know any 3 of the sides or angles we can find the other 3 except for the three angles case. See Solving Triangles for more details.
Similar to Sine, Cosine and Tangent, there are three other trigonometric functions which are made by dividing one side by another:. The Trigonometric Identities are equations that are true for all right-angled triangles.
The Triangle Identities are equations that are true for all triangles they don't have to have a right angle. Hide Ads About Ads. Follow the links for more, or go to Trigonometry Index Trigonometry Right-Angled Triangle The triangle of most interest is the right-angled triangle.
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Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more! Right-Angled Triangle The triangle of most interest is the right-angled triangle.
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Learn about the definition of the basic trigonometric functions (sin(x), cos(x), and tan(x)), and use advanced trigonometric functions for various purposes. Algebra 2/Trigonometry Regents Examinations ( Standard) January Examination ( KB) Scoring Key and Rating Guide (61 KB) Sample Response Set ( MB) Scoring Key (Excel version) (19 KB) Conversion Chart PDF version (20 KB) Excel version (14 KB) August