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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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**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**Example#1**• Name the quadrant in which lies if the cotangent is positive and the sine is negative.**Example#2**• Let (-3,4) be a point on the terminal side of • Find sine, cosine, and tangent of**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.**Student guided practice**• Do problems 11-12 in your book page 289**Evaluating Trigonometric functions**• Given sin=-2/3 and tan • Find cosine and cotangent**Example**• Given that cot =-4/3 and sin >0 • Find the six trigonometric functions**Trigonometric functions of quadrant angles**• Evaluate the cosine function and the cotangent function • at the following four quadrant angles • A)**Student guided practice**• Do problems 29,30,39 in your book pagw 287 and 288**Reference angle**• reference angle: the acute angle formed by the terminal side of θ and the x-axis is called the reference angle**Example**• Find the reference angle for the following • A)**Student guided practice**• Do odd problems fro 47-51 page 290**Homework**• Do problems 13-17, 23,27,52 and 53 in your book page 289 and 290**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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