Pre-Calculus Help

In this section you'll find study materials for pre-calculus help. Use the links below to find the area of pre-calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn pre-calculus.

Study Guides

showing 31 - 40 of 45
  • 31.

    The Change of Base Formula Help

    Introduction to The Change of Base Formula There are countless bases for logarithms but calculators usually have only two logarithms—log and ln. How can we use our calculators to approximate log 2 5? We ...

    Source: McGraw-Hill Professional
  • 32.

    Applications of Logarithm and Exponential Equations Help

    Introduction to Applications of Logarithm and Exponential Equations Now that we can solve exponential and logarithmic equations, we can solve many applied problems. We will need the compound growth formula for an investment earning interest rate r ...

    Source: McGraw-Hill Professional
  • 33.

    Finding the Growth Rate Help

    Introduction to Finding the Growth Rate We can find the growth rate of a population if we have reason to believe that it is growing exponentially and if we know the population level at two different times. We will use the first population level as n

    Source: McGraw-Hill Professional
  • 34.

    Radioactive Decay - Review and Examples Help

    Introduction to Radioactive Decay Some radioactive substances decay at the rate of nearly 100% per year and others at nearly 0% per year. For this reason, we use the half-life of a radioactive substance to describe how fast its radioactivity decays. For ...

    Source: McGraw-Hill Professional
  • 35.

    Applications of Systems of Equations Help

    Applications of Systems of Equations Systems of two linear equations can be used to solve many kinds of word problems. In these problems, two facts will be given about two variables. Each pair of facts can be represented by a linear equation. This gives us a ...

    Source: McGraw-Hill Professional
  • 36.

    Graphical Solution to System of Equations Help

    Introduction to Graphical Solution to System of Equations Two lines in the plane either intersect in one point, are parallel, or are really the same line. Until now, our lines have intersected in one point. When solving a system of two linear equations that ...

    Source: McGraw-Hill Professional
  • 37.

    Systems of Inequalities Help

    Introduction to Systems of Inequalities The solution (if any) for a system of inequalities is usually a region in the plane. The solution to a polynomial inequality (the only kind in this book) is the region above or below the curve. We will begin with linear ...

    Source: McGraw-Hill Professional
  • 38.

    Coterminal and Reference Angles Help

    Introduction to Coterminal and Reference Angles Two angles are coterminal if their terminal sides are the same. For example, the terminal sides of the angles 300° and −60° are the same. See Figure 13.3.

    Source: McGraw-Hill Professional
  • 39.

    Trigonometric Functions Help

    Introduction to Trigonometric Functions There are six trigonometric functions, but four of them are written in terms of two of the main functions—sine and cosine. Although trigonometry was developed to solve problems involving triangles, there is a very ...

    Source: McGraw-Hill Professional
  • 40.

    Graphs of Other Trigonometric Functions Help

    Introudction to Graphs of Other Trigonometric Functions Because csc x = 1/sin x , the graph of y = csc x has a vertical asymptote everywhere y = sin x has an x -intercept (where sin x = 0). ...

    Source: McGraw-Hill Professional
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