Cheat sheet trig graphs8/24/2023 ![]() ![]() Summation Crash Course downloads for all cheat sheets, formula books. Consider \(r=5 \cos \theta\) the maximum distance between the curve and the pole is \(5\) units. The properties of trigonometric functions must be used to calculate measurements. Set \(r=0\), and solve for \(\theta\).įor many of the forms we will encounter, the maximum value of a polar equation is found by substituting those values of \(\theta\) into the equation that result in the maximum value of the trigonometric functions. We use the same process for polar equations. Recall that, to find the zeros of polynomial functions, we set the equation equal to zero and then solve for \(x\). The radius is a 2, or one-half the diameter. The letter A represents the amplitude of the sine or cosine function, and it affects the steepness or flatness of the graphs of any of the trig functions. A is for amplitude in a trigonometry equation. Here are the ABC’s of reading the general equation for a trig function. To find the zeros of a polar equation, we solve for the values of \(\theta\) that result in \(r=0\). Some of the formulas that produce the graph of a circle in polar coordinates are given by r acos and r asin, wherea a is the diameter of the circle or the distance from the pole to the farthest point on the circumference. Each of the numbers changes the basic graph in a particular way. ![]()
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