To graph with a phase shift, first find the amount and direction of the shift. Graph the trig function without the shift, and then shift the axes.
Is a function: “many to one“. This is saying if you have multiple x-values that map to one y-value — say, (2,9), (3,9) and (6,9) — then that still qualifies as a function. Put more simply, it’s okay for a function to have multiple coordinate points in a straight lin...
Graph of f(x)=csc(x) Graph of f(x)=sec(x) Since secant and cosecant are related to sine and cosine, you may think that the period is calculated similarly to the period of sine and cosine - and you'd be right! If the secant or cosecant function is in standard form, the period...
The trigonometric functions we'll look at today include sine, cosine, tangent, cotangent, secant, and cosecant. We'll plot the function and then measure the period, which is the distance between two identical and consecutive portions of a curve. Then we'll take the reciprocal of the period...
Then we can recognize this as an even degree polynomial, and we reduce to a parent function to get: Parent function:y=x2 Graph the result on agraphing calculator, and this is the parent function. The other parent functions include the simple forms of the trigonometric, cubic, linear, absol...
Know what sine and cosine waves are and how to graph their respective waves. Read more about the calculation of its period and amplitude through examples here. Related to this QuestionHow to calculate the sine of an angle without using a calculator? If we know the sine of a number, how ...
Example of a horizontal factor graph—Linear horizontal factor The HRMA values can range from -180 to 180 degrees. However, on the horizontal factor graph, the values on the x-axis are from 0 to 180 because the graph is assumed to be symmetrical (mirrored) around ...
Example of a horizontal factor graph—Linear horizontal factor The HRMA values can range from -180 to 180 degrees. However, on the horizontal factor graph, the values on the x-axis are from 0 to 180 because the graph is assumed to be symmetrical (mirrored) around t...
Default Cosecant vertical factor graph Sec - Cos When the VRMA is a negative degree value, the VF is determined by the secant function of the VRMA. If the VRMA is a positive degree value, the VF is determined by the cosine function of the VRMA. The default lo...
Cosecant Function:A cosecant function is one of the trigonometric functions alongside sine, cosine, tangent, cotangent, secant, and other inverse trig functions. Eac of these functions has its own characteristics that are distinct from each other....