Graphing sinusoidal trig functions notes cosx page 2 31tz domain range o o o o periodic or cyclic. Now that we know the unit circle inside out, lets graph the trigonometric. Graphs of trig functions questions like analyze the equation to determine the features of the graph of each function. The y intercept is 0,0, and the xintercepts zeros are multiples of 2\pi. To graph this function you would initially ignore the. Graphs of trigonometric functions worksheet pdf dsoftschools. Topics cover know domain, range, period, and intercepts of the six parent trigonometric functions, download 273. The horizontal length of each cycle is called the period. Goals p graph translations and reflections of sine and cosine graphs. X and y intercepts worksheet day 3 identify the x and y. Ut learning center jester a332 47614 revised 501 university of texas at austin graphs of trig functions domain.
The period of the graph is for most trig functions, the period. Graphing trig functions test study guide test covers. Each extreme max or min is exactly halfway between two intercepts. Graph the functions applying transformations using this information. Finding the points of intersection of a line with a trig graph.
Know domain, range, period, and intercepts of the six parent trig functions. Find amplitude, period, phase shift, and vertical displacement, as applicable, for all six trig functions. For the graph of y 3 sin x, apply a vertical stretch by a factor of 3. The zeros, or xintercepts, of y cos x are the values.
After you get this graph, you would shift the graph down 5 units. Each graph shown above has a period of 2 the xintercepts for y sin x occur when x 0. We can also obtain the graph of the sine function by using. These include the graph, domain, range, asymptotes if any, symmetry, x and y intercepts and maximum and minimum points. The shortest repeating portion of the graph is called a cycle.
Amplitude a period or horizontal shift c vertical shift d steps to sketch 1. Students build the sine and cosine functions using the unit circle and pasta. Find and graph the intercepts of the following linear equations. Each intercept is exactly halfway between a maximum and a minimum. Graphing sine, cosine, and tangent functions classzone. Graphing trig functions can be graphed on to an xyplane xcoordinates are in radians ycoordinates are the resuleot the trigonometric function at a particular radian value if graphed on calculator in degrees, correct graph will not appear start with sinusoidal functions sine and cosine o real life sinusoidal functions. Now that we know the unit circle inside out, lets graph the trigonometric functions on the coordinate system. For the graph of y 2 sin x, reflect in the xaxis and apply a vertical stretch by a factor of 2.