Name: Class: Date: 6. Find, to the nearest tenth, the radian measure of 216º.
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1 Name: Class: Date: Trigonometry - Unit Review Problem Set. Find, to the nearest minute, the angle whose measure is.5 radians.. What is the number of degrees in an angle whose radian measure is? d What is the number of degrees in an angle whose measure is radians? d Find, to the nearest tenth, the radian measure of 6º.. What is the radian measure of an angle whose measure is 0? 7 7. Convert radians to degrees and express the answer to the nearest minute d. 7. Find, to the nearest tenth of a degree, the angle whose measure is.5 radians. 8. What is the number of degrees in an angle whose radian measure is 8 5? d. 9. Approximately how many degrees does five radians equal? d. 5
2 Name: 0. What is the radian measure of the smaller angle formed by the hands of a clock at 7 o clock? 5 6 d A circle is drawn to represent a pizza with a inch diameter. The circle is cut into eight congruent pieces. What is the length of the outer edge of any one piece of this circle? d.. Through how many radians does the minute hand of a clock turn in minutes? d Circle O shown below has a radius of centimeters. To the nearest tenth of a centimeter, determine the length of the arc, x, subtended by an angle of 8 50'.. What is the radian measure of the angle formed by the hands of a clock at :00 p.m.? d. 6. A circle has a radius of inches. In inches, what is the length of the arc intercepted by a central angle of radians? 8 d A wheel has a radius of 8 inches. Which distance, to the nearest inch, does the wheel travel when it rotates through an angle of 5 radians? 5 d.
3 Name: 7. The value of sin 7 6 is d.. If f(x) = sin x, find f() equals d. Ê 8. If f(x) = cos x, find f ˆ Á. 9. What is the numerical value of the product Ê tan ˆÊ Á cos ˆ Á?. The value of cos sin is d. 0. The value of sin d. 0 cos is. A function is defined by the equation y = x. Which equation defines the inverse of this function? y = x + y = x y = x + d. y = x
4 Name:. The accompanying diagram shows the graph of the line whose equation is y = x +. On the same set of axes, sketch the graph of the inverse of this function. State the coordinates of a point on the inverse function. 6. What is the inverse of the function y = x +? x = y y = x y = x d. x = y 7. By what transformation can the set representing the inverse of a function be found? reflection in the origin reflection in the line y = x rotation of 90º about the origin d. reflection in the y-axis 8. For what values of x is the csc(x) undefined on 0 x < 60? 5. On the accompanying set of axes, graph the function f(x) = x + and its inverse, f - (x). 9. For what values of x is the sec(x) undefined on 0 x < 60? 0. For what values of x is the tan(x) undefined on 0 x < 60?. For what values of x is the cot(x) undefined on 0 x < 60?
5 Trigonometry - Unit Review Problem Set Answer Section. ANS: 97º PTS: REF: fall09a STA: A.M. TOP: Radian Measure. ANS: B 80 = 65 PTS: REF: 0600a STA: A.M. TOP: Radian Measure. ANS: A Ê 0 ˆ Á 80 = 7 PTS: REF: 0800a STA: A.M. TOP: Radian Measure KEY: radians. ANS: PTS: REF: 09a STA: A.M. TOP: Radian Measure 5. ANS: A 80 = 60 PTS: REF: 00a STA: A.M. TOP: Radian Measure 6. ANS: Ê 6 ˆ Á 80.8 PTS: REF: 06a STA: A.M. TOP: Radian Measure KEY: radians
6 7. ANS: PTS: REF: 05a STA: A.M. TOP: Radian Measure 8. ANS: B = 88 PTS: REF: 060a STA: A.M. TOP: Radian Measure 9. ANS: A PTS: REF: 07a STA: A.M. TOP: Radian Measure 0. ANS: C 5 = 0 = 5 6 PTS: REF: 065a STA: A.M. TOP: Radian Measure. ANS: D PTS: REF: 0600b STA: A.M. TOP: Radian Measure. ANS: B PTS: REF: 0065b STA: A.M. TOP: Radian Measure. ANS: D s = θ r = = 8 PTS: REF: fall09a NAT: G.C.5 STA: A.A.6 TOP: Arc Length KEY: arc length
7 . ANS: C s = θ r = 8 6 = PTS: REF: 06a NAT: G.C.5 STA: A.A.6 TOP: Arc Length KEY: arc length 5. ANS: 8 50'.6 radians s = θ r = PTS: REF: 05a NAT: G.C.5 STA: A.A.6 TOP: Arc Length KEY: arc length 6. ANS: B s = θ r = 5 8 PTS: REF: 056a NAT: G.C.5 STA: A.A.6 TOP: Arc Length KEY: arc length 7. ANS: B PTS: REF: 087siii STA: A.A.56 TOP: Determining Trigonometric Functions KEY: radians, other angles 8. ANS: PTS: REF: 0887siii STA: A.A.56 TOP: Determining Trigonometric Functions 9. ANS: PTS: REF: 0688siii STA: A.A.56 TOP: Determining Trigonometric Functions 0. ANS: A PTS: REF: 08895siii STA: A.A.56 TOP: Determining Trigonometric Functions. ANS: C PTS: REF: 090siii STA: A.A.56 TOP: Determining Trigonometric Functions. ANS: A PTS: REF: 0695siii STA: A.A.56 TOP: Determining Trigonometric Functions
8 . ANS: A PTS: REF: 0809b STA: A.A. TOP: Inverse of Functions KEY: equations. ANS:. PTS: REF: 005b STA: A.A. TOP: Inverse of Functions KEY: graphs 5. ANS: PTS: REF: 08086b STA: A.A. TOP: Inverse of Functions KEY: graphs 6. ANS: B PTS: REF: 06865siii STA: A.A. TOP: Inverse of Functions KEY: equations 7. ANS: B PTS: REF: 0870siii STA: A.A. TOP: Inverse of Functions KEY: graphs
9 8. ANS: x = 0, 80 PTS: 9. ANS: x = 90, 70 PTS: 0. ANS: x = 90, 70 PTS:. ANS: x = 0, 80 PTS: STA: a.6a STA: a.6a STA: a.6a STA: a.6a 5
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