Trig/Math Anal Name No LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON NO GRAPHING CALCULATORS ALLOWED ON THIS TEST HW NO. SECTIONS ASSIGNMENT DUE TG (per & amp) Practice Set A TG (shifts) Practice Set B TG (other fns) Practice Set C TG 8 Equations Practice Set D TG 8 Practice Set F # odd Practice Set F # TG Practice Set G #* * 9* 7* / 7 Practice Set H #* * * * 7* 8* Inverses & Practice Set J # 9* 7 equations *Use a calculator or table to find the eact value of each epression. Epress angle measures in radians. TG 7 TG 8 Review Review Practice Set E # Practice Set F #8 Practice Set K #* * * * 7* 8 *Use a calculator or table to find the eact value of each epression. Epress angle measures in radians. Practice Set E # 7 Practice Set F # 8 8 Practice Set J # 9 Practice Set A: Graphing Period and Amplitude Find the amplitude and period of each graph.. y sin. y = cos. y = tan = Write an equation of the sine graph described.. Amplitude: ; Period:. Amplitude: ½; Period: Graph. Label both aes.. y = sin 7. y = cos 8. y = tan 9. y = sin. y = cos. y = sin. y = cos. y = tan. y = sin Practice Set B: Graphing Vertical and Horizontal Shifts Graph. Label both aes.. y = + sin. y = + cos. y = + tan F sin H G I K J. y = + b. y = tan g. y = cos + b g TMA Assignment List - Trig Graphs and Equations. Page
F HG I K J b g 9. y b 8. y = sin + 7. y = + cos = tan F I. y = cos. y = sin + HG K J b + g. y = + cosb g Write an equation of the graph described.. The graph of y = tan translated up 8 units and then reflected in the line y=8.. The graph of y = cos translated down units and right unit.. The graph of y = sin translated left units and reflected in the ais.. The graph of y = cos having maimum and minimum and period. Practice Set C: Graphing Summary Graph. Label both aes. F I. y = tan. y = sin + HG K J. y = cos + F. y = cos H G I. y = sin. y = tan K J + 7. y = csc 8. y = + cosb g 9. y = cosb g +. y = sec. y = csc. y = sin b g +. y = cot. y = tan b g. y = sin b g Practice Set D: Solving Trig Equations Solve θ < ; <. sinθ =. cosθ =. tanθ + =. sin = sin. cos = cos. sin + = sin 7. sinθ = 8. cos = cos 9. sin = sin. sin sin + =. tan tan =. sin + sin =. sin sin =. cosθ + cosθ + =. tanθ sinθtanθ = d ib g. cos θ + cosθ = 7. sin θ sinθ = 8. cos θ + cosθ = 9. sin + = sin. cos θ = b g Practice Set E: Review Solve.. cos. cosθ Graph.. y = csc. y = + tan( ). y = + sin( + ). y = + cos ( ) 7. y = sec( + ) g TMA Assignment List - Trig Graphs and Equations. Page
Practice Set F: Trigonometric Equations (Page ) Give your answer to the nearest tenth of a degree if the variable is θ. Give your answer to the nearest hundredth of a radian if the variable is unless you can epress the answer in terms of. Find the primary solution of each equation for θ < or <. Then find the general solution.. sin =. sin + =. cot ( θ ) = Solve for θ < or for <.. cos θ = sin θ. sinθ = cscθ. sec = csc 7. csc θ = 8. cot θ = 9. sin cos =. sin θ + sinθ =. cos θ = sinθ. sinθ =. cos θ cosθ + =. tan θ = tanθ 7. cos = cos 8. cos + 7sin + =. sin + cos= 9. sin =. tan =. cosθ = cosθ. sin = cos. sin = cot. sinθ = tanθ 7. cos θ = sin θ 8. cos θ + cos θ = 9. sin(θ ) =. cos( + ) =. tan( θ + ) = cot( θ ) Practice Set G: Inverse Functions and Equations (Page ). Cos. Sin sin 9. Cos sin. cos Sin 7. sin Cos Sin Epress without using trigonometric or inverse trigonometric functions.. sin( Sin ). sin( Sin u + Sin v) Practice Set H: Other Inverse Functions (Page7). Tan ( ). Cot ( ). Sec. Tan. Cot 7. Practice Set J: Other Inverse Functions (Page8) Csc 8. Sec ( ). Cot tan Cot. cot Sin. cos( Tan ) 8 7. sin(cot ). tan Sin + Tan Epress without using trigonometric or inverse trigonometric functions. tan Cot. sin( Tan ). cos( Cot ). sin( Tan ) 9. ( ) Practice Set K: (Page ) 9. ( ) TMA Assignment List - Trig Graphs and Equations. Page
. Cos. Cos cos. Sin cos. sin Cos. Tan. 8 csc Tan 8. cos Sec ( ) 7. Csc ANSWERS Practice Set A. amp = ½ ; period =. amp = ; period = ½. amp = ; period =. y = sin. y = sin. 7. 8. 9...... Practice Set B...... TMA Assignment List - Trig Graphs and Equations. Page
7.. 8. 9... y = 8 tan. Practice Set C. y = cos ( ). y = sin ( + ). y = cos+...... 7. 8. 9.... TMA Assignment List - Trig Graphs and Equations. Page
... Practice Set D...... 7. 8.. 8. no solution 9.. (8.. ).... 7.. 8. 7.. 8. 8..8 8. 9...9. 9 Practice Set E 7. or. θ or θ.... 7. TMA Assignment List - Trig Graphs and Equations. Page
Practice Set F =. { { ; : = + k or = +. { ;{ θ : θ = + k 8. {. {. {.. 7. { 8. {.7..7. 9. {. { 8. { 7. {. { 7. 89.. {.. 7. { 8. { 9. { 7. { 9 7 8 7. 9 9 9 9 9 9 9 9 9 9 9 9. { 8 7 7.. { 7. { 8 7. { 8. { 9. { 8. { 9 7. { 9 9 9 9 7 (k+ ). { ;{ : Practice Set G.. 9.. 7.. Practice Set H.. Practice Set J. 9... u v + v u... 7. 8... 77 7. or + + + + 9. +... or + + Practice Set K...... 7 7. 8. 8 TMA Assignment List - Trig Graphs and Equations. Page 7