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Name: Math 3C Mr. Nickels Graphing Trigonometric Equations Practice Test 1) State the range of the equation y = – 7cos 3x + 5 2) State the range of the equation y = 12 –8sin ½ x 3) Given an amplitude of 2, period of 3 , and cos, write the equation. 4) Given the following arcsin curve, in which interval will arcsin be a function? a) -1 &1 b) 0 & 3 c) 0 & d) & 2 2 2 5) ) y = 2cos Amplitude = Frequency = Period = 6) If the period is 5 , find the frequency. 4 7) Write the equation of the following graph: 8) Find, to the nearest tenth of a degree, the angle whose measure is 2.5 radians Recognize the following graphs: 9) 10) 11) 12) 13) 14) 15) If f(x) = -2sinx + 1 graph f 1 ( x) between 0 & 2π f(x) f 1 ( x) Is f 1 ( x) a function? Why or why not? 16) Graph y = tanx & y = 2cos2x - 1 in the domain 0 x 2 Determine the values of x, to the nearest hundredth satisfy the equation tanx = 2cos2x-1 ? 17) Graph y = sec x and -3csc x in the domain 0 x 2 18) If f(x)= 3sin 1 x & g(x) = cos2x + 1 Graph f-1(x) and g-1(x) 2 How many values of x satisfy the equation f-1(x) = g-1(x)