Post1330_section5o1a

# Post1330_section5o1a - Section 5.1 Trigonometric Functions...

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Unformatted text preview: Section 5.1 Trigonometric Functions of Real Numbers 1 Section 5.1a Trigonometric Functions of Real Numbers In this section there is nothing new as far as evaluating trigonometric functions. The difference is that the inputs are real numbers rather than angles. Opposite Angle Identities Example 1: Use the opposite-angle identities to evaluate the following. a. - 3 cos b. - 4 tan c. -- - 4 7 sec 3 5 cot Section 5.1 Trigonometric Functions of Real Numbers 2 Example 2: Given sin t = 7 2- and cot t > 0, find cos t . Example 3: Given 3 10 2 ) tan(- = t and 2 2 3 < < t , find sec(t). Section 5.1 Trigonometric Functions of Real Numbers 3 Periodicity The circumference of the unit circle is 2 . Thus, if we start with a point P on the unit circle and travel a distance of 2 units, we arrive back at the same point P. That means that the arc lengths of t and t + 2 as measured form the point (1, 0) give the same terminal point on the unit circle. as measured form the point (1, 0) give the same terminal point on the unit circle....
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## This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.

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Post1330_section5o1a - Section 5.1 Trigonometric Functions...

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