7.1.partA.lesson.done

7.1.partA.lesson.done - Lesson_7.1_Cofunction.notebook 1...

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Unformatted text preview: Lesson_7.1_Cofunction.notebook 1 November 20, 2008 Nov 19­9:19 AM Chapter 7 - Trigonometric Identities and Trig Equations 7.1 - Equivalent Trig Functions Related Functions with π and 2 π Consider the four points separately and the primary trig ratios of the angles formed by the terminal arm as shown in the diagrams. θ θ θ θ cos( π- θ ) =-cos θ sin( π- θ ) = sin θ tan( π- θ ) =-tan θ cos( π + θ ) =-cos θ sin( π + θ ) = -sin θ tan( π + θ ) = tan θ cos(2 π- θ ) = cos θ sin(2 π- θ ) = -sin θ tan(2 π- θ ) = -tan θ cos θ = x/r sin θ = y/r tan θ = y/x Rules for simplifying If θ is measured from the x-axis, ie π or 2 π , • keep the trig ratio • use the CAST rule for the +/- sign Lesson_7.1_Cofunction.notebook 2 November 20, 2008 Nov 19­3:08 PM Example 1 Simplify as a trig ratio of θ. a) tan( π- θ ) b) cos (2 π- θ) c) sin( π+θ) Example 2 If cos θ = , and 0< θ < a) cos( π + θ ) b) cos (2 π- θ ) c) sin( π + θ ) d) tan( π- θ ) Do sheet #1abcjkl, 3abe, 4ace Lesson_7.1_Cofunction.notebookLesson_7....
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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7.1.partA.lesson.done - Lesson_7.1_Cofunction.notebook 1...

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