A set of questions with answers on identifying the graphs of trigonometric functions \(\sin(x)\), \(\cos(x)\), \(\tan(x)\), \(\cot(x)\), \(\sec(x)\), and \(\csc(x)\) is presented. Use this page as a self-test for trigonometric graph recognition.
You are given 4 graphs for each question. Select the best possible answer.
Identify the graph of the cosine function \(f\).
Function: \(f(x) = \cos x\)
Identify the graph of the cotangent function \(f\).
Function: \(f(x) = \cot x\)
Identify the graph of the cosine function \(f\).
Function: \(f(x) = \cos (-x)\)
Identify the graph of the cosine function \(f\).
Function: \(f(x) = \cos \left(x - \frac{\pi}{4}\right)\)
Identify the graph of the cosecant function \(f\).
Function: \(f(x) = -\csc \left(x + \frac{\pi}{4}\right)\)
Identify the graph of the cosine function \(f\).
Function: \(f(x) = -\cos \left(x - \frac{\pi}{4}\right)\)
Identify the graph of the tangent function \(f\).
Function: \(f(x) = -2 \tan x\)
Identify the graph of the sine function \(f\).
Function: \(f(x) = -\sin \left(-x - \frac{\pi}{4}\right)\)
Identify the graph of the secant function \(f\).
Function: \(f(x) = 2 \sec (-2x)\)
Find the answers to all questions on the answers page.