Consider \(r=5 \cos \theta\) the maximum distance between the curve and the pole is \(5\) units. The side opposite the 90° is the hypotenuse side, therefore side AO is the hypotenuse side. The word trigonometry means ‘measurement of triangles’. If sin27 q, express each of the following in. Express each of the angles in question in terms of the angle in the rough sketch. The 3rd side can then be determined using Pythagoras. Draw a rough sketch with given angle and label 2 of the sides. 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. Trigonometry is the study of the relationship between the sides and angles of triangles. If a trig ratio is given as a variable express another trig ratio in terms of the same variable. We use the same process for polar equations. extra notes graphing trigonometric functions reviewing this cheat sheet, take look at the basic trig functions and the unit circle cheat sheet. Recall that, to find the zeros of polynomial functions, we set the equation equal to zero and then solve for \(x\). To find the zeros of a polar equation, we solve for the values of \(\theta\) that result in \(r=0\).
