This part of the exam should be completed without a calculator. Rem...

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This part of the exam should be completed without a calculator. Remember to show your work! Convert the degree measure to radian measure. 1) 30° 1) Convert the radian measure to degree measure. 2)-15 2) Find the exact value of the following expressions without using a calculator. 47t 3) tan 3) 3 4) arcsin [ 33 3 4) 2 5) cos-1 [ V 2 3 5) 6) arctan (1) 6) 7) CSC (7c/2) 7) 8) sec (7c/2) 8) 9) cos 47t 3 ] 9) 10) sin (30°) 10) PART 2 - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. nE Solve the formulaportle'specified variable A)n===R -R Ir - E n = Ir -IR E C) n=111 n = Ir IR + E D) n = IR(Ir - E) - Solve the equation by factoring. 2) 6x2 + 27x - 15 = 0 A) 1/1. 1 5 B) (-2,5) C) 1/2 1 -5 - D) {3,-5} - Find the perfect square trinomial whose first two terms are given. 3) x2 - 6x A) x2 - 6x - 9 B) x2 - 6x + 36 C) x2-6x+ - 9 D) x2 - 6x + 3 Graph. 4) ===2(+2)2 = - 1 y 10 5 -10 -5 5 10 x -5 -10 A) B) y y 10 10 5 5 -10 -5 5 10 x -10 -5 5 10 x 5 -10 10 C) D) y y 10 10 5 5 -10 -5 5 10 x -10 -5 5 10 x -5 5 -10 10 Sketch the graph of the polynomial function. 2 5) P(x) = 3x(x - 2)2 y 6 € -6 6 x -6 A) B) y y 6 6 € -6 6 x -6 6 x -6 -6 C) D) y y 6 6 -6 6 x -6 6 x -6 -6 State the domain of the rational function. 6) = - + 2 - 4 A) (-00,00) B) (-00, - -2) u (-2,6) u (6,00) C) (-00, - 6) u (-6,2) u (2, 00) D) (-00, - 2) U (- - 2,2) u (2, 00) For the given function, find all asymptotes of the type indicated (if there are any). X - 8 = 2 , vertical - 9 A) = = 3 B) X = 3, X = - 3 C)x=-3 D) X= 8 Use a graph or a table to find the limit. 8) lim 6-x X 80 A) 0 B) -00 C) 100 1 - D) 80 Solve the equation. 9) 2(7 - 3x) 1/4 A) {-3} B) {3} C) 1/2) D) {1} Find the value of the logarithmic function. 10) In(1) A) e B) -1 C) 0 D) 1 Write the equation as an equivalent exponential equation. 11) In(x) = 2 A) ex = 2 B) e-2=x = C) In(2) = x D)e2=x Simplify the expression. 12) In(e9) A) 9 In(e) B) 9 C) 1 D) e9 5 Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. 4 7 y 13) log4 7 A) (4 loga(x))(7 loga(y)) - log4(7) B) 4 log4(x) + 7 'log4(y) - log4(7) C) 4 log4(x) - 7log4(y) - log4(7) D) 4 log4(x) + 7 log4(y) + log4(7) Solve the equation. If necessary, round to thousandths. 14) 4(x - 3) = 14 A) - 1.096 B) 4.904 C) 6.500 D) 4.253 Solve the problem. 15) Use the formula S = r0 to determine the value of S in the figure. Round to two decimal places, if necessary. S o 135 r = 9 in. r A) 3.82 in. B) 1215 in. C) 21.21 in. D) 2.36 in. Match the function with its graph. 16) 1) y = sin (x) 2) y = cos (x) 3) y = - sin (x) 4) y = - cos (x) A) B) y y 3 3 2 2 1 1 -6.28 -3.14 3.14 6.28 x -6.28 3.14 14 6.28 x -1 -1 -2 -2 -3 -3 C) D) y y 3 3 2 2 1 1 € 6.28 -3.14 3.14 6.28 x -6.28 -3.14 3.14 6.28 x 1 -1 -2 -2 -3 -3 A) 1A, 2B, 3C, / 4D B) 1A, 2D, 3C, 4B C) 1C, 2A, 3B, 4D D) 1B, 2D, 3C, 4A 17) 1) y = - CSC X 2) y = - sec X 3) y = - tan X 4) y = - cot X A) B) y y 6 6 3 3, X x -2m -II TC 2TT -2m -TC TC 2TT -3 -3 -6 -6 C) D) y y 6 6 3 3 X x -2m -II TC 2m =2% -TL TC LTE -3 -3 -6 -6 A) 1A, 2D, 3C, 4B B) 1A, 2B, 3C, 4D C) 1C, 2A, 3B, 4D D) 1B, 2D, 3C, 4A Find the exact value of the composition. 18) cot sin 1 A) 1 B) $115 3 9 1/2 D) 3/4 3 4 Find the exact value of the indicated trigonometric function for the given right triangle. 19) A 60 36 C B Find sin A and cos A. A) sin A = B) sin A = cos A C) sin A = cos D) sin A = Solve the right triangle with the given sides and angles. 20) a = 2.9 cm, b = 1.4 cm A) a = 59.7° / ß = 30.3°, C = 3.2 cm B) a = 28.9°, / ß = 61.1°, / C = 4.3 cm C) a = 64.2° , ß = 25.8°, C = 3.2 cm D) a = 25.8°, , ß = 64.2°, C = 3.2 cm 9 Write the expression in terms of sines and/or cosines, and then simplify. sin x 21) tan x A) sec X B) cos x C) sin x D) CSC x Use identities to find the exact value of the trigonometric function. 22) Find sin a, given that cos a = < a < A) 10 B)-10 C) - 453 7 D) 433 7 Find an equivalent algebraic expression for the given composition. 23) sin (arccos(x)) A) V 1 x2 x 1 "VIXA B) C) - D) VT- 1 - x2 + X Use an identity to find the exact value of the expression. 24) tan TO 4 + TO 6 A) 2 + B) V3 - 2 C) 2 - - V3 D) - -2 - V3 10 Simplify the expression by using a sum or difference identity. 25) sin 24° cos 21° + cos 24° sin 21° A) V2 B) V3 2 2 D) 1/2 2 1 Use the appropriate sum or difference identity to write the given expression as a function of x alone. 26) cos (x - TC) A) cos x B) sin x C) cos x D) sin x Use a half-angle identity to find an exact value for the following, given the information about x. 27) Find cos x given that cos 2x = 1/2 7 and 0 2x < r/w 2 4 V154 14 A) cos X = B) cos x = 14 C) 154 cos X = D) V 154 cos X = 13 14 Find all real numbers in the interval [0, 2mc) that satisfy the equation. 28) sin X = 1 - 2 sin2x A) No solution B) TO 2 T 6 , 57t 6 C) { 662 TO 57t 37t D) (The 6 , 6 , 2 TO 370 570 } 11 Solve the triangle with the given parts. 29) 20 51° a y 26° b A) Y = 103°, / a = 44.4, b = 25.1 B) Y = 103°, , a = 9, b = 16 C) Y = 97°, a = 8.8, b = 15.7 D) Y = 103°, / a = 16, b = 9 Solve the triangle. Approximate values to the nearest tenth when appropriate. 30) 13.4 6.1 a ß 16.0 A) a = 23.7°, / ß = 52.3°, Y = 104.0° B) a = 19.7°, / ß = 54.3°, Y = 106.0° C) a = 21.7°, / ß = 54.3°, / Y = 104.0° D) No solution

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