Trig Graph Game

Trig Graph Quiz/Game
This game will show you a trigonometric graph, and you must identify the correct function (Sine, Cosine, Tangent, and their reciprocals, Cosecant, Secant and Cotangent). Scroll down the page for a more detailed explanation.
 

 
Analyze the Wave:

How to Play

1. Analyze the Wave:
   Look at where the yellow line starts, where it crosses the center axis (the x-axis), and if it has any “gaps” (asymptotes).
   
2. Pick Your Answer:
   Select on of the functions.
   
3. Select the Match:
   Click one of the four buttons.
   Green Flash: You matched correctly
   Red Flash: You missed it. The game will immediately highlight the correct answer in green so you can memorize it for the next round.
   
4. Next Question: Click the Next Question button to generate a brand-new random graph.
5. Scoring and Content
   The game tracks your progress in the top-left corner (Score: Correct / Total Attempts).
    
   

How to remember the Trig Graphs
The Continuous Waves: Sine and Cosine
These are the most common graphs. They oscillate perfectly between a maximum of 1 and a minimum of -1.
Sine (y = sin x): This is an odd function. Passes exactly through the origin (0,0), moves up to its peak at π/2, and crosses the x-axis again at π.
Cosine (y = cos x): This is an even function. It starts at its maximum value (0,1), crosses the x-axis at π/2, and hits its minimum at π.

The Asymptotic Vines: Tangent and Cotangent
These functions involve division by zero at certain points, creating asymptotes. Their range is (-∞, ∞).
Tangent (y = tan x): This function “climbs” from left to right. It passes through the origin (0,0) and has asymptotes at x = ± π/2.
Cotangent (y = cot x): This is the mirror-opposite; it “falls” from left to right. It has asymptotes at x = 0 and x = π.

The Reciprocal Cups: Cosecant and Secant
These graphs look like a series of “U” shapes (parabolas) that never enter the space between -1 and 1. They “sit” on the peaks and valleys of Sine and Cosine.
Cosecant (y = csc x): The reciprocal of Sine (1/sin x). Wherever Sine is 0, Cosecant has an asymptote. Its “cups” touch the Sine wave at its peaks (1) and valleys (-1).
Secant (y = sec x): The reciprocal of Cosine (1/cos x). Its “cups” touch the Cosine wave peaks. Because cos(0) = 1, the Secant graph has a vertex at (0,1).
 

 

Have a look at this lesson on Trig Function Graphs
Graphing Trig Functions
 

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