1. Chapter 5 – Trigonometric Functions: Unit Circle Approach 5.2 - Trigonometric Function of Real Numbers

2. Definition of the Trig Functions 5.2 - Trigonometric Function of Real Numbers

3. Example – pg. 384 Find sin t and cos t for the values of t whose terminal points are shown on the unit circle in the figure. t increases in increments of  /4. 5.2 - Trigonometric Function of Real Numbers

4. Special Values 5.2 - Trigonometric Function of Real Numbers

5. Domains of the Trig Functions FunctionDomain sin, cosAll real numbers tan, secAll real numbers other than for any integer n cot, cscAll real numbers other than n  for any integer n 5.2 - Trigonometric Function of Real Numbers

6. Signs of the Trig Functions QuadPositive Functions Negative Functions I All None II sin, csccos, sec, tan, cot III tan, cotsin, csc, cos, sec IV cos, secsin, csc, tan, cot 5.2 - Trigonometric Function of Real Numbers

7. Example – pg. 384 Find the exact value of the trigonometric functions at the given real number. 5.2 - Trigonometric Function of Real Numbers

8. Examples – pg. 385 Find the sign of the expression if the terminal point determined by t is in the given quadrant. 5.2 - Trigonometric Function of Real Numbers

9. Even-Odd Properties Sine, cosecant, tangent, and cotangent are odd functions. Cosine and secant are even functions. 5.2 - Trigonometric Function of Real Numbers

10. Example – pg. 384 Find the exact value of the trigonometric functions at the given real number. 5.2 - Trigonometric Function of Real Numbers

11. Fundamental Identities Reciprocal Identities Pythagorean Identities 5.2 - Trigonometric Function of Real Numbers

12. Examples – pg. 385 Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. 5.2 - Trigonometric Function of Real Numbers

13. Examples – pg. 385 Find the values of the trigonometric functions of t from the given information. 5.2 - Trigonometric Function of Real Numbers

14. Examples – pg. 384 Find the exact value of the trigonometric functions at the given real number. 5.2 - Trigonometric Function of Real Numbers