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# Trigonometry MATH 1060

Utah State University

GPA 3.66

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This 4 page Class Notes was uploaded by Benton Yundt on Wednesday October 28, 2015. The Class Notes belongs to MATH 1060 at Utah State University taught by Staff in Fall. Since its upload, it has received 12 views. For similar materials see /class/230421/math-1060-utah-state-university in Mathematics (M) at Utah State University.

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Date Created: 10/28/15

Evaluating Trigonometric Functions Given an angle 9 in standard position Where 9 gt 90 or 9 lt 0 the referece angle 9 is the acute angle formed by the terminal side of 9 and the horizontal axis Use the following to nd the reference angle 9 o If 9 lies in quadrant ll 9 7r 7 9 9 180 7 9 o If 9 lies in quadrant lll 9 9 7 7r 9 9 7 180 o If 9 lies in quadrant lV 9 27f 7 9 9 360 7 9 The following is a table of trigonometric values of common angles Which Will be usefull 9degrees 0 30 45 60 90 180 270 9radians 0 g E g g 7r 3 sin 9 0 g g g 1 0 1 cos 9 l g g g 0 1 0 tan 9 0 g 1 V3 Undefl 0 Undefl Problem 4 Evaluate the sine7 cosine7 and tangent of the given 0 t9 300 Solution Step 1 Find 0 Since 300 lies in quadrant lV 360 7 300 60 Solution Step 2 Since 6 is in quadrant lV7 we know that the sine and tangent are negative7 and the cosine is positive Solution Step 3 Use the table above or the unit circle to evaluate the sine7 cosine and tangent of 0 Make sure to give them the appropriate sign sin 300 cos 6 7 sin 60 sint9 wlb cos 300 cos 60 1 2 tant9 tan300 7tan60 w Evaluating Trigonometric Functions Given an angle 9 in standard position Where 9 gt 90 or 9 lt 0 the referece angle 9 is the acute angle formed by the terminal side of 9 and the horizontal axis Use the following to nd the reference angle 9 o If 9 lies in quadrant ll 9 7r 7 9 9 180 7 9 o If 9 lies in quadrant lll 9 9 7 7r 9 9 7 180 o If 9 lies in quadrant lV 9 27f 7 9 9 360 7 9 The following is a table of trigonometric values of common angles Which Will be usefull 9degrees 0 30 45 60 90 180 270 9radians 0 g E g g 7r 3 sin 9 0 g g g 1 0 1 cos 9 l g g g 0 1 0 tan 9 0 g 1 V3 Undefl 0 Undefl Problem 1 Given 67 nd the reference angle7 6 6 123 Solution Step 1 Determine the quadrant in which 6 lies Since 90 lt 123 lt 1807 6 lies in quadrant 11 Solution Step 2 Since 6 lies in quadrant 117 use the above information to determine 6 6 180 7 6 180 7123 57

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