Unit 6 Test REVIEW Algebra 2 Honors

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1 Unit Test REVIEW Algebra 2 Honors Multiple Choice Portion SHOW ALL WORK! 1. How many radians are in 1800? 10 10π Name: Per: π 2. On the unit circle shown, which radian measure is located at ( 2, 1 2 )? π π 11π π. A transmitter sends a radio wave from the top of a 0-foot building. The amplitude of the wave is 1., the midline of the wave is, and the frequency of the wave is π. Which equation BEST represents this radio wave? y = 1. sin(2x) y = 1. sin(2x) + y = 2 sin(1.x) + y = 2 sin(x) Angle θ is in Quadrant IV with cos θ =. What is sin θ? 9 2. Angle θ is in Quadrant III and tan θ = 1. What is the exact value of sin θ? 2 2. Rewrite π radians in degree measure. 108 degrees 00 degrees degrees π 21 degrees. Which angle is coterminal with an angle in standard position measuring 2π? 12π 1π 2π π 8. Find the area of ΔABC if B = degrees, a = 8 meters, and c = 1 meters. 91. square meters 2.1 square meters.9 square meters.0 square meters e. 9. A roofer props a ladder against a wall so that the top of the ladder reaches a 0-foot roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is degrees, about how far is the ladder from the base of the wall? 21 ft ft ft 2 ft

2 10. Find the exact value of sin θ if the terminal side of θ in standard position contains the point (-, -). 11. Which equation can be used to find x for the triangle below? sin 2 = x cos 2 = x tan 2 = x e. 12. Find m A to the nearest degree. sin 2 = x Which triangle should be solved beginning with the Law of Cosines? A = 11, a = 19, b = 1 B = 8, a = 22, b = A = 2, B = 1, b = 10 A = 0, b = 20, c = What is the period for the function graphed at right? Consider the triangle below. Find the missing side, BC What is the amplitude for the function y = 2 sin(θ)? 1/ ½ 1. Find cos θ if sin θ = 1 and 180 < θ <

3 18. Find tan θ if cos θ = 1 and 90 < θ < Determine a reference angle for Determine a reference angle for π 11π π 9π 21. The price of gas is going up and down, and over a short time interval, it can be modeled with a cosine wave. The function has a midline at 2, a period of 8π, and an amplitude of 2. Write an equation that models the price of gas during this time perio 22. Write an equation of the graphs below. (scale of x-axis is π 2 ) 2. Name two angles that have the same cosine value.

4 Unit Test REVIEW Algebra 2 Honors NON-Calculator Portion Name: Per: SHOW ALL WORK! All answers must be simplifie 1. Name an angle between 180 and 20, inclusive, whose cosecant is undefine 1. _ 2. Evaluate the trigonometric function. a) tan -0 b) cos c) sin 2 d) tan( ) a) b) c) d) e) cot -0 f) sec g) csc 2 h) cot( ) e) f) g) h) Find the exact value of the expression. Write your answer as a simplified fraction.. cos tan sin sin. Graph the following equations. Label units on your axes and use dashed lines for any asymptotes. Plot ordered pairs.. y = sin 1 x - 2. y = tan 2x Amplitude: Period: Midline: Phase Shift (left/right): Vertical Shift (up/down): Amplitude: Period: Midline: Phase Shift (left/right): Vertical Shift (up/down):. The height of water in a wave pool oscillates between a maximum of 20 feet and a minimum of 1 feet. The wave generator pumps waves per minute, or 1 wave every 20 seconds. Write a sine function that represents the height of the water at time t seconds. Then graph the function.

5 Unit Test REVIEW Calculator Portion Algebra 2 Honors Name: Per: Round angle measures to the nearest degree and side lengths to the nearest hundredth unless otherwise specifie. Find the amplitude, period and midline of the function below. Then write a possible equation for the function. A = P = Midline = Eqn: 8. The minute hand of a clock is inches long and moves from to o clock. 8. _ How far does the tip of the minute hand move? Express your answer in terms of π. 9. Find the area of ABC. 9. Round to the nearest hundredth. 10. You want to land a hot air balloon 00 feet above the groun There are two landing pads 10. each at angles of depression of 2 o and o. What is the distance between the two landing pads? 11. P(-, ) is a point on the terminal side of in standard position. Find the exact value of sec..