1. Day 6 – Six Trigonometric Functions 2 Objectives: At the end of the period, I should be able to... Find the six trigonometric functions given the terminal side of angle in standard position passing through (x,y)

2. The six trigonometric functions are defined as follows:

3. Signs of Function Values QI All functions positive QII Sine and cosecant positive QIII Tangent and cotangent positive QIV Cosine and secant positive Signs of Function Values

4. Example 1. Locate angle  in the coordinate plane if  is in standard position and the terminal side passes through point P (- 3, - 4). x y r P(- 3, - 4)  ●

5. Example 2. The terminal side of  in standard position passes through (- 3, - 4). Find the values of the six trigonometric functions of . x = - 3 ; y = - 4;

6. Group Activity Three problems will be given, each group will answer the problem assigned to them Groups 1, 2, 3: Answer Problem A Groups 4, 5, 6: Answer Problem B Groups 7, 8, 9, 10: Answer Problem C Answers will be posted to padlet to the set they are tasked to answer Problem A: http://padlet.com/jose_calamlam/pyfhgb0m336b Problem B: http://padlet.com/jose_calamlam/x7t9of6i9c2e Problem C: http://padlet.com/jose_calamlam/rejuyu7t7n9c

7. Group Activity Problem A:Problem A: The terminal side of  in standard position passes through (5,-12). Find the values of the six trigonometric functions of . Problem B:Problem B: The terminal side of  in standard position passes through (- 8, 6). Find the values of the six trigonometric functions of . Problem C:Problem C: The terminal side of  in standard position passes through (2, -5). Find the values of the six trigonometric functions of .

8. PROBLEM A: The terminal side of  in standard position passes through (5,-12). Find the values of the six trigonometric functions of . x = 5 ; y = - 12;

9. PROBLEM B: The terminal side of  in standard position passes through (- 8, 6). Find the values of the six trigonometric functions of . x = - 8 ; y = 6;

10. PROBLEM C: The terminal side of  in standard position passes through (2, - 5). Find the values of the six trigonometric functions of . x = 2 ; y = - 5;

11. Homework 3 Given the right triangle below, find the value of six trigonometric functions. Answer must be in simplified form sin  = cos  = tan  = csc  = sec  = cot  =

12. Homework For you to answer the assignment you must watch the following videos (Khan Academy): Using SOH-CAH-TOA: https://www.khanacademy.org/math/trigonomet ry/basic- trigonometry/basic_trig_ratios/v/example-using- soh-cah-toa More examples: https://www.khanacademy.org/math/trigonomet ry/basic-trigonometry/basic_trig_ratios/v/basic- trigonometry-ii