MATH 107 Lecture Notes - Lecture 4: Polar Coordinate System, Trigonometry, Pythagorean Theorem
14 Oct 2016
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Document Summary
The cotangent has a period of : and we don"t bother with the amplitude, when you need to do the graphs, you may be tempted to try to compute a lot of plot points. But all you really need to know is where the graph is zero, where it"s equal to 1, and / or where it has a vertical asymptote. If you know the behavior of the function at zero, /2, , 3 /2, and 2 , then you can fill in the rest. To convert from radians to degrees, multiply by 180/ , and vice versa. Tofindthelengthofacirculararcgiventheradiusofacircleandtheangl eofthearc, just multiply r and : circular motion, angular speed 1. = /t measured in rad/s, linear speed 1. v = d/t measured in m/s (or any measurement of distance) Cotangent=1/tangent: right triangles, you can use the pythagorean theorem or trigonometry to solve for side lengths. First quadrant = all angles positive: secondquadrant=onlysinevaluespositive, thirdquadrant=tangentpositive.
