Name MULTIPLE CHOICE. Choose the one alternative that best completes the stateme

Question

Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the ques Use a coterminal angle to find the exact value of the expression. Do not use a calculator 1) 1sin 390 2-/3 D) B) 2 Solve the problem. 2) The blade of a windshield wiper sweeps out an angle of 135 in one cycle. The base of the blade is 2) 12 inches from the pivot point and the tip is 32 inches from the pivot point. What area does the wiper cover in one cycle? (Round to the nearest 0.1 square inch.) A) 1105.3 in2 B) 1041.8 in2 C) 1036.7 in2 D) 948.3 in2 3)For a circle of radius 4 feet, find the arc length s subtended by acentral angle of 30". Round to the 3) nearest hundredth. A) 2.09 ft B) 6.28 ft C) 376.99 ft D) 4.19 ft 4) Given cos 30- . use trigonometric identities to find the exact value of sin 30 A)÷ B) 2 D)v3 5) Use a calculator to find the value of cos 118°. Round to the nearest hundredth. A) -0.47 B) 0.19 C) 0.88 D) -1.88 6) Find tan P. 6) 20 16 A) tan P.3 B)tan P=- C)tan P=- D)tan P Find the exact value of the expression. Do not use a calculator. 7) tan 45*-cos 30° A)"

Explanation / Answer

1. sin(390) = sin(360 + 30)

= sin30  

= 1/2

Ans(A)

2. A = pi r^2 ( theta / 360) (for arc of angle theta with radius r)

so Area sweaped = pi (theta/360) (r1^2 - r2^2)

= pi (135/360) (32^2 - 12^2)

= 1036.7 in^2

Ans(D)

3. L = (2 pi r) (theta / 360)

L = (2 pi 4) (30/360) = 2.09 ft

Ans(A)

4. sin(30) = sqrt[1 - (cos30)^2]

= sqrt[1 - (3/4)] = sqrt(1/4)

= 1/2

Ans(A)

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