MATH 108 Summer 2017 Quiz 2 Simplify the expression completely. 3 1) 21 cos x sinx 2 7 sin x cosx 2) 4 7 + 2 cos x sin x cosx+ sinx 3) 10 tan 3 x 5tanx secx sec 2 x 4) cos2 x 2cos x8 cos x4 2 Graph. 5) y = sin(x + 3/2) Find the amplitude, period or phase shift. 6) Find the period and phase shift of y = 2 cos ( 14 x + 3 ) . 7) Find the amplitude of y = 5 cos (x - ). 8) Find the period of y = 2 cos (2x + /3). 9) Find the phase shift of y = -4 + 3sin (5x - /6) 10) Find 11) Find s 1 ( 1 ) 2 exactly in degrees. 1 tan ( 3) exactly in radians. 12) A person is watching a car from the top of a building. The car is traveling on a straight road directly toward the building. When first noticed the angle of depression to the car is 28.45. When the car stops, the angle of depression is 43.25. The building is 270 feet tall. How far did the car travel from when it was first noticed until it stopped? Round your answer to the hundredths place. 13) In one area, the lowest angle of elevation of the sun in winter is 27.35. Find the minimum distance x that a plant needing full sun can be placed from a fence that is 5.7 feet high. Round your answer to the tenths place