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trig_m1_handouts

trig_m1_handouts - MAC 1114 Module 1 Trigonometric...

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1 Rev.S08 MAC 1114 Module 1 Trigonometric Functions 2 Rev.S08 Learning Objectives Upon completing this module, you should be able to: 1. Use basic terms associated with angles. 2. Find measures of complementary and supplementary angles. 3. Calculate with degrees, minutes, and seconds. 4. Convert between decimal degrees and degrees, minutes, and seconds. 5. Identify the characteristics of an angle in standard position. 6. Find measures of coterminal angles. 7. Find angle measures by using geometric properties. 8. Apply the angle sum of a triangle property. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 Learning Objectives (Cont.) 9. Find angle measures and side lengths in similar triangles. 10. Solve applications involving similar triangles. 11. Learn basic concepts about trigonometric functions. 12. Find function values of an angle or quadrantal angles. 13. Decide whether a value is in the range of a trigonometric function 14. Use the reciprocal, Pythagorean and quotient identities. 15. Identify the quadrant of an angle. 16. Find other function values given one value and the quadrant. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.

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2 4 Rev.S08 Trigonometric Functions http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. - Angles - Angles - Angle Relationships and Similar Triangles - Trigonometric Functions - Using the Definitions of the Trigonometric Functions Functions There are four major topics in this module: 5 Rev.S08 What are the basic terms? http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Two distinct points determine a line called line AB . Line segment AB —a portion of the line between A and B , including points A and B. Ray AB —portion of line AB that starts at A and continues through B , and on past B. A B A B A B 6 Rev.S08 What are the basic terms? (cont.) http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Angle -formed by rotating a ray around its endpoint. The ray in its initial position is called the initial side of the angle. The ray in its location after the rotation is the terminal side of the angle.
3 7 Rev.S08 How to Identify a Positive Angle and a Negative Angle? http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Positive angle: The rotation of the terminal side of an angle counterclockwise . Negative angle: The rotation of the terminal side is clockwise . 8 Rev.S08 Most Common unit and Types of Angles http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. The most common unit for measuring angles is the degree . The major types of angles are acute angle, right angle, obtuse angle and straight angle. 9 Rev.S08 What are Complementary Angles?

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trig_m1_handouts - MAC 1114 Module 1 Trigonometric...

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