Question 1 The expression (tan @)(sin @)(cot @) simplifies to which of the following? O cos e O sin e O cot 0 01 Question 2 Which of the following shows a graph of a tangent function in the form y = atan(bx - c) + d, such that b = 2? O 12 w /2\fD O Question 3 Which of the following identities is equal to cote? O 1+ sec20 O sec20- 1 O 1+ csc20 O csc20- 1Question 4 What are all of the solutions to the trigonometric equation 2cos20- 2sine = -V3? O 0= + 2xn and 0= -+ 2an On= 52 + 2xn and 0 = 6 On=+ mn and 0 = - + in 12 12 5% + an and 0 = + In 12 12 Question 5 At which angle is sece = -v2? 6 0 1 1 6Question 6 Determine a coterminal angle of 690. 0 3x 2 0 5x 3 4 O 1 1x 6 Question 7 What is the equation of the following trigonometric function f (x)? f(x) # 12 2TT 5n 12 7n 12Of ( x ) = CSC NI - Of(x) = coc= Of(x) = csc 2x - Of ( x) = CSC| 2x + Question 8 Determine all solutions to the equation -V2 sin 2x = sin x + cos x on the interval [0, 2TT). Q X= 8 '8 O X= 4 '4 O X = 57 7x 13x 15x 8 '8'8 '8 O x = - 5x 7x 9x 11x 4 '4'4'4Question 9 What are the solutions to the equation sin x+ 3x V3 on the interval [0, 2T)? 2 2 O 13 3 O 3 3 O X 1 12 6'6 6 '6 Question 10 Which of the following shows the simplified function of _ sin x -? 1 + cosx O 1 + cos x 01- cos x O 1 + sin x O1 - sin xQuestion 11 If mzA = 56, mzB = 64', and c = 8, what is the measure of side length b? O 8.673 O 8.303 07.708 07.379 Question 12 A student was asked to prove the trigonometric identity tan _ x + cot _ x = 2csc x. Which of the following could be the first step in proving the identity? 1 1- Cos x sin x - =2cscx sin x 1- COS x sin x 1+ cosx = 2cscx 1+ cos x sin x 101 1- cos x 1-cosx = 2csCX sin x sinx Ol only Oil only O I and II only OI, II, and I!!Question 13 Mullet fish are known to jump out of the water when being pursued by predators. The height in inches of one mullet fish can be described by the function f (x) = 2cos x - 1. where x represents the time in seconds Another mullet fish's height from the water level can be represented by the equation g(x) = -sin x. At which values on the interval [0, 271) will the two fish be at the same height above the water? O TX 117 6 6 2'6 6 ] 4' 4'4'4) Question 14 Based on the graph of the trigonometric functions f (0) = 4sin 0 + 3 and g (0) = cos 20, at what value(s) on the interval [0, 21) does f (0) = g (0)? O T 3x 51 7x 4' 4' 4'4 O 37 2' 2 4 4Question 15 Given tan 0 = 1 and 0