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Trigonometric Functions: Identifying Equations and Graphs, Lecture notes of Algebra

A set of exercises aimed at helping students identify the trigonometric functions represented by given graphs and equations. The exercises cover topics such as identifying the period and inverse functions of trigonometric functions, writing equations for given graphs, and distinguishing between different trigonometric functions based on their graphs.

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

prindhorn
prindhorn 🇺🇸

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Name:________________________________________________ Date:__________ Period:_______
Trig Graphs: Regents Algebra 2
Trig Graphs: Regents
1.) Which equation is represented by the graph?
(1) y = 2cos3x (3)
(2) y = 2sin3x (4)
2.) In which interval of f(x) = cos(x) is the inverse also a function?
(1)
(3)
(2)
(4)
3.) Write an equation for the graph of the trigonometric function shown below.
4.) What is the period of the function ?
(1) (2)
(3)
(4) 2
pf3
pf4

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Name:________________________________________________ Date:__________ Period:_______ Trig Graphs: Regents Algebra 2 Trig Graphs: Regents 1.) Which equation is represented by the graph? (1) y = 2cos3x (3) (2) y = 2sin3x (4) 2.) In which interval of f(x) = cos(x) is the inverse also a function? (1) (3) (2) (4) 3.) Write an equation for the graph of the trigonometric function shown below. 4.) What is the period of the function? (1) (2) (3) (4) 2

5.) Which is a graph of y = cotx? 6.) Which equation is graphed in the diagram below? (1) (2) (3) (4)

9.) Which graph represents one complete cycle of the equation? 10.) Which equation is represented by the graph below? (1) y = cotx (2) y = cscx (3) y = secx (4) y = tanx