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# Chapter 4

Chapter 4. 4-4 Trigonometric functions at any angle. Objectives. Students will know how to evaluate trigonometric functions of any angle , Find reference angles Evaluate trigonometric functions of real numbers. Definition. Quadrants of circle. Example#1.

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## Chapter 4

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1. Chapter 4 4-4 Trigonometric functions at any angle

2. Objectives • Students will know how to • evaluate trigonometric functions of any angle, • Find reference angles • Evaluate trigonometric functions of real numbers

3. Definition

5. Example#1 • Name the quadrant in which lies if the cotangent is positive and the sine is negative.

6. Example#2 • Let (-3,4) be a point on the terminal side of • Find sine, cosine, and tangent of

7. Example 3 • The point (-4, 10) is on the terminal side of an angle in standard position. Determine the exact values of the 6 trig functions.

8. Student guided practice • Do problems 11-12 in your book page 289

9. Evaluating Trigonometric functions • Given sin=-2/3 and tan • Find cosine and cotangent

10. Example • Given that cot =-4/3 and sin >0 • Find the six trigonometric functions

11. Trigonometric functions of quadrant angles • Evaluate the cosine function and the cotangent function • at the following four quadrant angles • A)

12. Student guided practice • Do problems 29,30,39 in your book pagw 287 and 288

13. Reference angle

14. Reference angle • reference angle: the acute angle formed by the terminal side of θ and the x-axis is called the reference angle

15. Example • Find the reference angle for the following • A)

16. Student guided practice • Do odd problems fro 47-51 page 290

17. Homework • Do problems 13-17, 23,27,52 and 53 in your book page 289 and 290

18. Closure • Today we learned about trigonometric functions at any angle • Next we are going to see Graphs of sine and cosine

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