Trigonometry Quiz Review
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3 -3- x u2p0o1c3q kksuot5at gsaopfvtzwlavrbeq olxlzcd.2 G 6Aeljld Crdi7gQhItKs0 dr 6eHstePrIvDepdZ.J Z YMza8dPeC AwHirt6hw ui8npfoitngiwtfeb jaqlggmembrrian h2l.9 Worksheet by Kuta Software LLC 5) 8π 3 Find the length of each arc. 6) 7) 11 ft 12 ft 4π 3 3π 2
4 -4- f P2j0V1B3M TKCuOtuaE bsyojfctzw3atroeb QLoLVCI.U m YAUl3lB trtioguhotssu RrjetseeirvvLekdj.n 3 LMta1dTeh Aw6ictKh8 DIjn8fOi6ngi0t4ea OArl3gDeXbGrea1 S2n.X Worksheet by Kuta Software LLC Find the value of the trig function indicated. 8) Find cos θ if csc θ = ) Find tan θ if cot θ = ) Find cot θ if cos θ = ) Find cot θ if sin θ = 50
5 -5- t c2x0n1q3r mkguxtkan 8SFoIfstRwmaFrLeI alelac4.m K KAPlXlS rrjimgwhftlss Lr5ejs3eMrhvheMdw.1 Z dmpajdfeh mwcintehw givn2fiiinmi3txeq 0A0lzgxelbHr3af 32H.L Worksheet by Kuta Software LLC 12) A 200-meter line was used to tether a hot-air ballon to the ground. Wind caused the line to make an 85 degree angle with the ground. How high is the balloon? 13) The tailgate of a pickup truck is 3.5 feet off of the ground. You have ramps of three different lengths: 10 feet, 20 feet, and 30 feet. If you do not want to exceed a 15 degree angle with the ground, which ramps (if any) can you use? Explain your reasoning.
6 -1- P F2i071I34 TKquWtJaU ZSZoKfUtuw3aurke5 2LyLBCF.n n bayl5lt 3rAi1gGhYtrsR CrOeuskeDrdvLerd5.K W RMia8dve3 GwhivtRhN YI7ntf3iYnP ityei iazlqglerb4r mal 020.Z Worksheet by Kuta Software LLC Trig/Precalc - CLARK Trigonometry Quiz Review 6 q2e0n163n 3KAu4tIaN PSborfYtNwuaUrWey ul4laci.d V 2AulPln nrwixgyhstes7 irtevsveuravkegd 6.q ID: 1 Name Date Period For each question, complete the following: a. Sketch a graph of the angle. b. Determine the quadrant that contains the terminal side of the angle. c. Determine the reference angle. d. Give one positive and one negative coterminal angle. e. If the angle is in degrees, convert it to radians. If it is in radians, covert it to degrees. f. Give all six trigonometric ratios (exact, not decimal) for the given angle. 1) π 3 2) 11π 4 495
7 -2- d E2r0N1f33 YKguHtCaf DSiojfot3wda0rgeW OLdLdCC.E f KAelxlZ yrwiugthetkss CrGeZsNebryvVeQdK.v W DMta4dQej GwWi8tjhq 1ILnofpiHnkiqtaeU 1Agl3gdembvr1aa s2w.d Worksheet by Kuta Software LLC 3) ) 5π 2 3π 4 450
8 -3- Y G2l0P1Q3W mkuujtxad LSXoOfBtlwNaCrQeh HLYLwCW.t M TAEl5lV nrwi3gjhstusa 8rreLsEenrEvxemd7.b u YM7aLdCec QwRi4tjhW WIBnpfziknGiPtFe4 xahlrgqepbfr tar u2e.v Worksheet by Kuta Software LLC 5) 8π Find the length of each arc. 6) 7) 11 ft 12 ft 4π 3 3π 2 44π 3 ft 18π ft
9 -4- S b2m0j1n3r IKpu8tSan jslojfwtkwuaorfet jlrlvcf.w w padlolh treidg0h9tysc tr9exswe3rmvoeudg.z Q MMAafdueO QwoiatOhQ qilnkf3i0niixtheq YAklUgAeVbrrta0 62s.B Worksheet by Kuta Software LLC Find the value of the trig function indicated. 8) Find cos θ if csc θ = ) Find tan θ if cot θ = ) Find cot θ if cos θ = ) Find cot θ if sin θ =
10 -5- j Q2Q0S1y3O JKVu2t3ae nsvoyf6towda8rbel hlyl5cm.k K 2AKlslE vrliogoh8tbsk trfelshe5ravieydv.z k lm2agdrep Dw6iVt0hy MI EnkfPicnciDtUem hadlsgxeqb0reaz 02I.I Worksheet by Kuta Software LLC 12) A 200-meter line was used to tether a hot-air ballon to the ground. Wind caused the line to make an 85 degree angle with the ground. How high is the balloon? The dot next to the choice indicates that it is the answer. 13) The tailgate of a pickup truck is 3.5 feet off of the ground. You have ramps of three different lengths: 10 feet, 20 feet, and 30 feet. If you do not want to exceed a 15 degree angle with the ground, which ramps (if any) can you use? Explain your reasoning. The dot next to the choice indicates that it is the answer.
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