By Stan Gibilisco
Textual content presents a wholly painless approach to examine the basics and basic ideas of trigonometry. makes use of prose and illustrations to explain the strategies, bargains questions on the finish of every bankruptcy and part, and incorporates a 100-question self-test. Softcover.
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Additional info for Trigonometry Demystified: A Self-Teaching Guide
Sample text
PROBLEM 2-4 Use another drawing of the unit circle to help show why it is true that sin2 þ cos2 ¼ 1 for angles greater than 270 and less than 360 . ) SOLUTION 2-4 Figure 2-3 shows how this can be done. Draw a mirror image of Fig. 2-2, with the angle defined clockwise instead of counterclockwise. Again we have a right triangle; and this triangle, like all right triangles, must obey the Pythagorean theorem. 27 CHAPTER 2 A Flurry of Facts 28 Fig. 2-3. Illustration for Problem 2-4. Identities The following paragraphs depict common trigonometric identities for the circular functions.
You might have to dig around in the operating system folders to find it, but once you do, you can put a shortcut to it on your computer’s desktop. Use the calculator in the ‘‘scientific’’ mode. The values of the sine and cosine function never get smaller than À1 or larger than 1. The values of other functions can vary wildly. Put a few numbers into your calculator and see what happens when you apply the circular functions to them. Pay attention to whether you’re using degrees or radians. When the value of a function ‘‘blows up’’ (the denominator in the unit-circle equation defining it becomes zero), you’ll get an error message on the calculator.
Set your scientific calculator, or the calculator program in your computer, to indicate radians. Activate the inverse-function key (in Windows, put a checkmark in the box labeled ‘‘Inv’’). Be sure the calculator is set to work with decimal numbers (in Windows, put a dot or a check in the space labeled ‘‘Dec’’). Next, find the difference 1 À 2 using a calculator, so it displays À1. Then hit the ‘‘cos’’ function key, thereby finding the measure of the angle, in radians, whose cosine is equal to À1. The resulting number on the display is an excellent approximation of (a) /2 (b) (c) 3/2 (d) 2 10.