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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)
The six trigonometric functions are defined as follows:
Signs of Function Values
QIAll functions
positive
QIISine and cosecant positive
QIIITangent and cotangent positive
QIVCosine and
secant positive
Signs of Function Values
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)
●
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;
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/pyfhgb0m336bProblem B: http://padlet.com/jose_calamlam/x7t9of6i9c2eProblem C: http://padlet.com/jose_calamlam/rejuyu7t7n9c
Group Activity
• Problem A: The terminal side of in standard position passes through (5,-12). Find the values of the six trigonometric functions of .
• Problem B: The terminal side of in standard position passes through (- 8, 6). Find the values of the six trigonometric functions of .
• Problem C: The terminal side of in standard position passes through (2, -5). Find the values of the six trigonometric functions of .
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;
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;
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;
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 =
Homework
For you to answer the assignment you must watch the following videos (Khan Academy):
Using SOH-CAH-TOA: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa
More examples: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry-ii