MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Semester 1Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) Which one of the equations below matches the graph? 1) A) = - cos(3) B) = - sin(3) = - sin 1 3 D) = sin 1 3 ) Which one of the equations below matches the graph? ) A) = 3 sin 1 B) = -3 sin() = 3 cos() D) = 3 cos 1 3) Which one of the equations below matches the graph? 3) A) = cos 1 B) = sin 1 = cos 1 D) = cos() 1

2 ) Which one of the equations below matches the graph? ) A) = sin 1 3 B) = - sin 1 3 = cos(3) D) = cos 1 3 Solve the problem. ) The Earth rotates about its pole once ever hours. The distance from the pole to a location on Earth 3 north latitude is about miles. Therefore, a location on Earth at 3 north latitude is spinning on a circle of radius miles. Compute the linear speed on the surface of the Earth at 3 north latitude. A) 9 mph B) 10 mph 879 mph D) 1,101 mph ) Use the even-odd properties to find the eact value of the epression. Do not use a calculator. ) cos (-0 ) A) - 3 B) 1 3 D) - 1 ) Graph the function. 7) =cot() 7)

3 A) B) D) Graph the sinusoidal function using ke points. 8) = -3 cos() ) 3

4 A) B) D) In the problem, t is a real number and P = (, ) is the point on the unit circle that corresponds to t. Find the eact value of the indicated trigonometric function of t. 9) (- 1,- ) Find sin t. A) - 1 B) D) - 9) Graph the function. 10) = -cot() 10)

5 A) B) D) Convert the angle in degrees to radians. Epress the answer as multiple of. 11) 11) A) 30 B) 18 0 D) 1 Use the even-odd properties to find the eact value of the epression. Do not use a calculator. 1) cot - 1) A) 1 B) 0-1 D) undefined Solve the problem. 13) For what numbers,, does the graph of = cot have vertical asmptotes? A) - 3, -,, 3 B),, 0,, 13) -, -1, 0, 1, D) none

6 Find the area A. Round the answer to three decimal places. 1) 1) 8 ft A) 0.1 ft B).13 ft 0.10 ft D) 1.8 ft Use a calculator to find the approimate value of the epression rounded to two decimal places. 1) cos 9 A) 0.9 B) D) ) Without graphing the function, determine its amplitude or period as requested. 1) = cos() Find the period. A) B) 1 D) 1) Solve the problem. 17) In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of.9 10 miles. The orbit is circular, and one revolution around Earth takes 10.7 das. Assuming the radius of the Earth is 390 miles, find the linear speed of the satellite. Epress the answer in miles per hour to the nearest whole mile. A) 80 mph B) 710 mph 17,399 mph D) 18 mph 17) Solve the equation on the interval 0 θ <. 18) cos(θ) = sin θ A),, 3 B) 3, 3,,,, 3 D) 7, 3, 11 18) Find the eact value under the given conditions. 19) cos α = , < α < ; sin β = 8 17, A) 1 0 B) < α < Find tan(α - β). 3 0 D) ) Find the eact value, if an, of the composite function. If there is no value, sa it is "not defined". Do not use a calculator. 0) sin(sin-1 1.3) A) 0.3 B) D) not defined 0)

7 Find the domain of the function f and of its inverse function f-1. 1) f() = 7 sin(9-1) A) Domain of f: - 1 9, 1 9 Domain of f-1: (-, ) B) Domain of f: [-7, 7] Domain of f-1: (-, ) 1) Domain of f: (-, ) Domain of f-1: [-7, 7] D) Domain of f: (-, ) Domain of f-1: [-9, 9] Solve the equation on the interval 0 θ <. ) cos(θ) - 3 cos θ + = 0 A) 3,, 3 B) 0,, 11 0, 3, 3 D) 0,,, 11 ) 3) sin θ - cos θ = 0 3) A) B), 3, 3,, 7 D), Find the eact value. Do not use a calculator. ) cos 3 ) A) -1 B) 0 1 D) undefined Solve the problem. ) The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given b the formula F = mg sinθ where m is the mass in kilograms of the pendulum's bob, g 9.8 meters per second per second is the acceleration due to gravit, and θ is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0. kilogram and θ = 30? If necessar, round the answer to the nearest tenth of a Newton. A).8 N B). N. N D).7 N ) Find the period. ) = 3 sin 8 + ) A) 8 B) D) 3 Find the eact value of the epression. 7) sin(tan-1 ) A) B) D) 7) 7

8 Complete the identit. 8) sin θ [sin(θ) + sin 7θ)] =? A) 1 cos θ [cos(θ) - cos(7θ)] B) 1 cos θ [cos(θ) + cos(7θ)] 8) cos θ [cos(θ) + cos(7θ)] D) cos θ [cos(θ) - cos(7θ)] Name the quadrant in which the angle θ lies. 9) cos θ < 0, csc θ < 0 A) I B) II III D) IV 9) Use the information given about the angle θ, 0 θ, to find the eact value of the indicated trigonometric function. 30) csc θ = -, cos θ > 0 Find sin θ. 30) A) + 1 B) D)

9 Answer Ke Testname: PRECALL1REVIEW 1) B ) D 3) D ) A ) C ) B 7) B 8) A 9) D 10) D 11) A 1) B 13) B 1) C 1) D 1) A 17) A 18) A 19) A 0) D 1) C ) C 3) C ) B ) C ) B 7) C 8) D 9) C 30) C 9