L27 - Lecture 27, Part I: Section 4.3 Right Triangle...

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Unformatted text preview: Lecture 27, Part I: Section 4.3 Right Triangle Trigonometry Def. Let u1D703 be an acute angle of a right triangle. The six trigonometric functions of the angle u1D703 are defined as follows. sin u1D703 = csc u1D703 = cos u1D703 = sec u1D703 = tan u1D703 = cot u1D703 = ex. Find the values of the six trigonometric functions of u1D703 . 2 4 ex. If cos u1D703 = 3 4 , sketch a right triangle with acute angle u1D703 , and find the other values of the five trigono- metric functions of u1D703 . Theorem: Cofunctions of complementary angles are equal. That is, sin(90 u1D703 ) = cos u1D703 cos(90 u1D703 ) = sin u1D703 tan(90 u1D703 ) = cot u1D703 cot(90 u1D703 ) = tan u1D703 sec(90 u1D703 ) = csc u1D703 csc(90 u1D703 ) = sec u1D703 a b c ex. Evaulate: 1) sin 36 cos 54 2) tan 56 cot 34 Trigonometric Identities 1. Reciprocal Identities sin u1D703 = 1 csc u1D703 csc u1D703 = 1 sin u1D703 cos u1D703 = 1 sec u1D703 sec u1D703 = 1 cos...
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This note was uploaded on 12/02/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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L27 - Lecture 27, Part I: Section 4.3 Right Triangle...

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