Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones
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Название: Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)
Автор: Patrick Jones
Издательство: John Wiley & Sons Limited
Жанр: Математика
isbn: 9781119883678
isbn:
87.
Subtracting Polynomials
88–92 Subtract the given polynomials.
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Multiplying Polynomials
93–97 Multiply the given polynomials.
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Long Division of Polynomials
98–102 Use polynomial long division to divide.
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Chapter 2
Trigonometry Review
In addition to having a strong algebra background, you need a strong trigonometry skill set for calculus. You want to know the graphs of the trigonometric functions and to be able to evaluate trigonometric functions quickly. Many calculus problems require one or more trigonometric identities, so make sure you have more than a few of them memorized or at least can derive them quickly.
The Problems You’ll Work On
In this chapter, you solve a variety of fundamental trigonometric problems that cover topics such as the following:
Understanding the trigonometric functions in relation to right triangles
Finding degree and radian measure
Finding angles on the unit circle
Proving identities
Finding the amplitude, period, and phase shift of a periodic function
Working with inverse trigonometric functions
Solving trigonometric equations with and without using inverses
What to Watch Out For
Remember the following when working on the trigonometry review questions:
Being able to evaluate the trigonometric functions at common angles is very important since they appear often in problems. Having them memorized will be extremely useful!
Watch out when solving equations using inverse trigonometric functions. Calculators give only a single solution to the equation, but the equation may have many more (sometimes infinitely many solutions), depending on the given interval. Thinking about solutions on the unit circle is often a good way to visualize the other solutions.
Although you may be most familiar with using degrees to measure angles, radians are used almost exclusively in calculus, so learn to love radian measure.
Memorizing many trigonometric identities is a good idea because they appear often in calculus problems.
Basic Trigonometry
103–104 Evaluate
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105–108 Evaluate the trig function. Remember to rationalize denominators that contain radicals.
105. Given
106. Given
107. Given