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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)
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The six trigonometric functions are defined as follows:
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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
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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) ●
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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;
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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
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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 .
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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;
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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;
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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;
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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 =
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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
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