Graphs of Trigonometric Functions - Questions

A set of questions, with their answers, on identifying the graphs of trigonometric functions sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x) are presented in this page. These may be used as a self test oh the graphs of trigonometric functions.

Trigonometric Graph questions with answers
You are given 4 graphs, select the best possible answer.

Question 1

Identify the graph of the cosine function f.
f(x) = cos x

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Question 2

Identify the graph of the cotangent function f.
f(x) = cot x

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Question 3

Identify the graph of the cosine function f.
f(x) = cos (-x)

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Question 4

Identify the graph of the cosine function f.
f(x) = cos (x - Pi/4)

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Question 5

Identify the graph of the cosecant function f.
f(x) = -csc (x + Pi/4)

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Question 6

Identify the graph of the cosine function f.
f(x) = -cos (x - Pi/4)

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Question 7

Identify the graph of the tangent function f.
f(x) = -2 tan x

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Question 8

Identify the graph of the sine function f.
f(x) = -sin (-x - Pi/4)

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Question 9

Identify the graph of the secant function f.
f(x) = 2 sec (-2x)

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More References on the Graphs of Trigonometric Functions

Explore and analyze the graphs, the domains and range of sin(x), cos(x), tan(x), cot(x), sec(x) and csc(x). Graphs of Basic Trigonometric Functions
Graphing and properties of the sine function. Graph of Sine, a*sin(bx+c), Function
Graph and properties of the cosine function. Cosine Function
Graph and properties of the sine function. Sine Function
Graph and properties of the secant function. Secant Function
Match Sine Functions to Graphs