For example. Like with sine graphs, the domain of cosine is all real numbers, and its range is Calculate the graph’s x- intercepts. This means that it repeats itself every 360 . Thus, the two graphs are shifts of 1/4 of the period from each other. Even though the input sign changed, the output sign for cosine stayed the same, and it always does for any theta value and its opposite. The graph of y = cos θ The graph of $$y = \cos{\theta}$$ has a maximum value of 1 and a minimum value of -1. This article has been viewed 13,641 times. Here are the steps: Like with sine graphs, the domain of cosine is all real numbers, and its range is, Referring to the unit circle, find where the graph f(x)=cos x crosses the x-axis by finding the angles on the unit circle where the cosine is 0. Unlike the sine function, which has 180-degree symmetry, cosine has y-axis symmetry. Connection between period of graph, equation and formula Table of contents top Formula Practice What is the period of a sine cosine curve? It’s symmetrical about the y-axis (in mathematical dialect, it’s an even function). For each y-value, move the y-value up by D if D is positive, or move the y-value down if D is negative. In other words, you can fold the graph in half at the y-axis and it matches exactly. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/c\/c7\/Graphingtemplate.jpg\/460px-Graphingtemplate.jpg","bigUrl":"\/images\/thumb\/c\/c7\/Graphingtemplate.jpg\/552px-Graphingtemplate.jpg","smallWidth":460,"smallHeight":329,"bigWidth":"552","bigHeight":"395","licensing":"