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*EVERYTHING you must ranking an ideal five. Equip your self to ace the* AP Calculus BC examination with The Princeton Review's entire research guide—including thorough content material studies, unique thoughts for each query sort, entry to our AP attach on-line portal, and three full-length perform checks with whole resolution factors. ****
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We don't need to inform you how difficult AP Calculus is—or how very important a stellar ranking at the AP examination may be for your possibilities of moving into a best university of your selection. Written by means of Princeton assessment specialists who comprehend their manner round Calc BC, Cracking the AP Calculus BC examination will provide you:
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Additional info for Cracking the AP Calculus BC Exam (2016 Edition) (College Test Preparation)
Then sketch a graph of y = sin 2x as a solid curve. How do the two functions compare? 7. The secant of an angle can never be within a certain range of values. What is that range? 8. The cosecant of an angle can never be within a certain range of values. What is that range? 9. The Pythagorean formula for the sine and cosine is sin2 q + cos2 q = 1 From this, derive the fact that sec2 q − tan2 q = 1 10. Once again, consider the formula sin2 q + cos2 q = 1 From this, derive the fact that csc2 q − cot2 q = 1 CHAPTER 3 Polar Two-Space The Cartesian plane isn’t the only tool for graphing on a flat surface.
At first, the angle is 0, so the radius is 0. As the ray turns, the angle increases negatively at a constant rate. That means the radius increases negatively at a constant rate, too, because we’re multiplying the angle by a positive constant. We must plot the points in the exact opposite direction from the way the ray points. When we do that, we get the dashed spiral in Fig. 3-4. The pitch is the same as that of the heavy spiral, because we haven’t changed the value of a. The entire graph of the equation consists of both spirals together.
Multiple revolutions of objects are important in physics and engineering. So if you ever hear or read about an angle such as −p /2 or 5p, you can be confident that it has meaning. The negative value indicates clockwise rotation. An angle larger than 2p indicates more than one complete rotation counterclockwise. An angle of less than −2p indicates more than one complete rotation clockwise. Primary Circular Functions 25 The sine function Look again at Fig. 2-1. Imagine that ray OP points along the x axis, and then starts to rotate counterclockwise at steady speed around its end point O, as if that point is a mechanical bearing.
Cracking the AP Calculus BC Exam (2016 Edition) (College Test Preparation) by Princeton Review