Post1330_section5o1b_fri

# Post1330_section5o1b_fri - t tan k t tan = π for all real...

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Section 5.1b – Trigonometric Functions of Real Numbers 1 Section 5.1b Trigonometric Functions of Real Numbers

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Section 5.1b – Trigonometric Functions of Real Numbers 2 Example 1: Simplify. a. ) sin( ) tan( t t - b. ) sec( ) cos( ) sin( t t t - - - - c. ) ( cot ) sin( ) sin( 2 t t t - - + - - Recall: ) t sin( ) k 2 t sin( = π + , for all real numbers t and all integers k. ) t cos( ) k 2 t cos( = π + , for all real numbers t and all integers k. ) t sec( ) k 2 t sec( = π + , for all real numbers t and all integers k. ) t csc( ) k 2 t csc( = π + , for all real numbers t and all integers k.
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Unformatted text preview: ) t tan( ) k t tan( = π + + + , for all real numbers t and all integers k. ) t cot( ) k t cot( = π + , for all real numbers t and all integers k. Example 2: Suppose that 3 4 ) csc( = x and that 2 π < < x . Compute ) 74 cot(-x . Section 5.1b – Trigonometric Functions of Real Numbers 3 Example 3: Simiplify. ) 2 tan( ) cot( ) 2 csc( ) 6 sin( π + +-+ t t t t...
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