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prefinalreview

# prefinalreview - Precalc Review Problems for Final Exam 1...

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Precalc Review Problems for Final Exam 1. Find (a) the reference number for each value of t , and (b) the terminal point determined by t - 2 π 3 , 13 π 4 , 16 π 3 2. Find the values of the trigonometric functions of t from the given information. (a) sin t = 3 5 , terminal point of t is in quadrant II. (b) sec t = 3, terminal point of t is in quadrant IV. (c) sin t = - 1 4 , sec t < 0. 3. Find the amplitude, period, and phase shift of the function, and graph one complete period. (a) y = 2 sin 2 3 x - π 6 (b) y = cos π 2 - x (c) y = sin( π + 3 x ) 4. Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modeled by the function b ( t ) = 7 . 9 - 2 . 1 cos π 156 t where t is measured in days. (a) Find the period of R Leonis. (b) Find the maximum and minimum brightness. (c) Graph the function b 5. Find the period and graph the function. (a) y = 5 sec 2 πx (b) y = tan 1 2 x (c) y = 2 csc(2 x + 3) 6. A sector of a circle has a central angle of 60 . Find the area of the sector if the radius of the circle is 3 mi.

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prefinalreview - Precalc Review Problems for Final Exam 1...

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