1. Chapter 6 - Trigonometry Chapter Review Presentation

2. Chapter 6 Review Convert the given angle value into radians/degrees. Express answers in exact fraction form. Do not express as a decimal value. 1. ¼  R = ________ 2. –695 o = _________ Find the length of the arc given the measure of the central angle and a radius that equals 5.0 m. 3.  = 3/2  s = _________4.  = 240 o s = _________ 45 o -139  /36 23.5620.94

3. Chapter 6 Review Determine the angular displacement, angular velocity, and the linear velocity. Round each answer to the nearest tenth. The radius length is 5.0 m. 5.3.75 revolutions in 40.0 seconds s = __________  = __________v = __________ 117.8 m.59 rad/sec2.95 m/sec

4. Chapter 6 Review Determine the characteristics of amplitude, period, horizontal phase shift, critical points and vertical phase shift. 6. y = 2sin(¼  +  /2) – 2 amplitude = ___________, period = __________, phase shift = ________, vertical shift = _______critical points = ___________ 2 88 - 2  - 2 -2 , 0, 2 , 4 , 6 

5. Chapter 6 Review 7.y = 2cos(½  -  /2) + 3 amplitude = _______, period = _______, phase shift = ________, vertical shift = _____critical points = _____________ 2 44  3 up , 2 , 3 , 4 , 5 

6. Chapter 6 Review Determine the amplitude, period, horizontal phase shift, and vertical phase shift. Graph the function 9.y = 2cos( 3  /4 +  ) - 1 amplitude = __________ period = _________ horizontal shift = ________ vertical shift = ______ 2 8  /3 -4  /3 1 down

7. Chapter 6 Review Determine the amplitude, period, horizontal phase shift, and vertical phase shift. Graph the function 10. y = -½sin( ½  -  ) + 1 amplitude = ___________ period = _________ horizontal shift = _______ vertical shift = ________ -1/2 44 22 1 up 22 33 44 55 66

8. Chapter 6 Review Evaluate each of the following. 1.y = Arcsin  3/2__ 2. y = sin[Arccos(½)] __ 3. y = tan( Cos –1 0 + Sin –1 ½) __ 4. y = sin [  /2 – Sin –1 (½)] __

9. Chapter 6 Review Find all of the values of x in degrees, 0  x  360, for which each of the following is true. 5. cot x = 0____________ 6. csc x = undefined _______

10. Chapter 6 Review State the amplitude, period, and phase shift for each of the following. 7.y = 2tan(½  -  /4) amplitude = _____, period = _______, phase shift = _______ 8.y = ¼ csc(2  + 3  /4) amplitude = _____, period = _______, phase shift = _______ 2 22 /2/2 ¼  ⅜⅜

11. Chapter 6 Review Write the equation for the inverse of each function. 9. y = sin 2x______________ 10. y = Arccos( x -  /2) __________________

12. Chapter 6 Review Graph each function for the designated domain. Show your work for all coordinates of principal values. 11. y = ½ csc(2  -  /2)  /4    5  /4 0

13. Chapter 6 Review Graph each function for the designated domain. Show your work for all coordinates of principal values. 12. y = Arcsin 2x -   y   -½-½ ½ 0