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1 Name: Class: Date:.-.2 Review sheet Multiple Choice Identify the choice that best completes the statement or answers the question.. Find the complement of the following angle. Round your answer to two decimal places. 0.8 a. Complement 0.8 b. Complement 0.77 c. Complement. d. Complement 2. e. Complement. 2. A carousel with a 50-foot diameter makes 7 revolutions per minute. Find the angular speed of the carousel in radians per minute. Round your answer to two decimal places. a. 7rpm radians per minute b. 7rpm.98 radians per minute c. 7rpm radians per minute d. 7rpm 2.99 radians per minute e. 7rpm.2 radians per minute Short Answer Some answers on the key reference section. but these are concepts that you should know from sections. and.2.. Find angle 75 in radian measure as a multiple of.. Convert the angle measure from radians to degrees. Round to three decimal places Find the length of the arc on a circle of radius r intercepted by a central angle. Round to two decimal places. Radius r CentralAngle 2 centimeters 0 6. Find the area of the sector of the circle with radius r and central angle. Round to two decimal places. Radius r 8inches CentralAngle 7 7. A sprinkler on a golf green is set to spray water over a distance of 2 meters and to rotate through an angle of 0. Find the area of the region. Round your answer to two decimal places.
2 Name: 8. Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t.. Evaluate the trigonometric function using its period as an aid. sin ˆ Ë 6 2. Use the value of the trigonometric function to find csc(t). sint a 5 7, b Find the point (x, y) on the unit circle that corresponds to the real number t. (Round your answer to one decimal place.). Use the value of the trigonometric function to find sec(t). cos( t) 6. Use the value of the trigonometric function to find sin( t). t 5 0. Evaluate the trigonometric function using its period as an aid. cos6 sint Find the value of given trigonometric function. Round your answer to four decimal places. cos(5.5) 6. The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by y(t) et cos6t, where y is the displacement (in feet) and t is the time (in seconds). Complete the following table.(round your answer to four decimal places.) t y 2
3 Name: 7. Convert the angle measure from degrees to radians. Round to three decimal places Evaluate (if possible) the sine, cosine, and tangent of the real number. t 9. Find the values of in degrees ( 0 90) and radians ( 0 /2) without the aid of a calculator. sec Find the values of in degrees ( 0 90) and radians ( 0 /2) without the aid of a calculator. 2. Evaluate the trigonometric function using its period as an aid. sin 25. Use the value of the trigonometric function to find sint. sin(t) Find (if possible) the complement of the following angle. 27. Find the quadrant in which the given angle lies. 7 sin 2 2. Use a calculator to evaluate function given below. Round your answer to four decimal places. (Be sure the calculator is in the correct angle mode.) sec 80 ' 22. Evaluate (if possible) the sine, cosine, and tangent of the real number. t 9 2. Evaluate (if possible) the sine, cosine, and tangent of the real number. t Find the quadrant in which the given angle lies Convert the angle measure from degrees to radians. Round to three decimal places Find (if possible) the supplement of the following angle. 2. Convert angle measure to decimal degree form. Round your answer to three decimal places. 22
4 .-.2 Review sheet Answer Section SHORT ANSWER. ANS: B PTS: REF:..b 2. ANS: B PTS: REF:..2a. ANS: 5 2 PTS:. ANS: 5 6 REF:..57a PTS: REF: ANS: s.66 centimeters PTS: REF: ANS: A.6 square inches PTS: REF: ANS: A 75.9 square meters PTS: REF: ANS: sint 5 7 cost 5 7 tant PTS: REF: ANS: t 5 corresponds to the point ( 0.8,0.6 ). PTS: REF:.2.9
5 0. ANS: cos6 PTS: REF:.2.6. ANS: sin ˆ Ë 6 2 PTS: REF: ANS: csc(t) PTS:. ANS: sec(t) 6 PTS:. ANS: REF:.2.b REF:.2.5b sin( t) 5 6 PTS: 5. ANS: cos(5.5) REF:.2.7a PTS: REF: ANS: t y PTS: REF:.2.60b 7. ANS: radian PTS: REF: ANS: t corresponds to the point x,y Ë ˆ = (,0). sin( ) 0 cos( ) tan( ) 0 PTS: REF:
6 9. ANS: 0 6 PTS: 20. ANS: REF:..59a 0 6 PTS: REF:..57a 2. ANS: sec 80 '.99 PTS: REF:..52a 22. ANS: t 9 corresponds to the point x,y Ë ˆ = sin 9 ˆ Ë 2 cos 9 ˆ Ë 2 tan 9 ˆ Ë PTS: REF: ANS: t 7 corresponds to the point x,y 2 Ë sin 7 ˆ Ë 2 cos 7 ˆ Ë 2 0 tan 7 ˆ is undefined. Ë 2 PTS: REF:.2.2 2, 2 Ë ˆ = ( 0, ). ˆ.
7 2. ANS: sin 2 2 PTS: REF: ANS: sint 2 PTS: 26. ANS: REF:.2.a Complement: PTS: 27. ANS: Quadrant II PTS: 28. ANS: Quadrant III REF:..a REF:..a PTS: REF:..a 29. ANS: radians PTS: REF: ANS: Supplement: 2 PTS:. ANS: PTS: REF:..2a REF:..82a
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