Midterm Review (2) Trigonometry L R2V0C1K9U XKhuptOaT GSUoefUtowraqrleQ aldlscv.a X VA[ltlB LrmizgNhStesM krgeoseefrzvte_di.

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1 Trigonometr L RV0K9U XKhutOaT GSUoefUtowraqrleQ aldlsv.a X V[ltl LrmizgNhStesM krgeoseefrzvte_di. Midterm Review () Name ID: Date Period Find the amlitude, the eriod in radians, the hase shift in radians, the vertical shift, and the transformations required to obtain the grah starting with a basic trig function. Then sketch the grah using radians. ) = csc q ) = - + sin q K em0q9v KEutOaG MSNoHfrtfwtaurIeh FLILfc.q q bflxlc frqinghstjsm WrOeNs[ePrWvLeRdV.Y MMNaude vwtiztwhw FIrnzftiFnJifteD QPrr`elcJaalQcVuRlnucsz. --

2 ) = sin q ) = - + cos ( q + ) Solve each triangle. Round our answers to the nearest tenth. ) ) 9.7 mi mi. ft ft 7) 8) cm.9 cm cm. cm 0 cm v v[0bd9u `KSurt\ak ]SMo^fRtKwoaDrbe[ wlxldt. v RVlWlH MrKigvhvtsF WrMesfeMrZvleYdN.u W TMVadue owlixtih\ \IYnGfTiOnQiztVeu jpgrgeccha]lfcu]lnutsf. --

3 9) m = 0, c =, a = 0 0) m =, m =, c = ) m = 9, m =, c = 7 ) m = 9, b =, c = ) m =, a =, b = 7 Draw an angle with the given measure in standard osition. ) - 7 ) ) 7) - 8 Find the reference angle. 8) 9) g S09W skruftta OSYoQfbthwuareW glglvl.e U RKlVlr WrUiwgOhltust mrweosueyrhvjeldz.g U [MgagdEeT Iwuiotvhc FI]nafDiRnIitseb POrzehcUaIlNcru\lHursw. --

4 0) 7 9 ) - 8 Use identities to find the value of each eression. ) If csc ( q - ) = -.9, find sec (-q ). ) If sec q = -.9, find csc ( q - ). onvert each degree measure into radians and each radian measure into degrees. ) 7 ) 7 ) - 7 Find the value of the trig function indicated. 7) Find cos q if sin q = 8) Find sec q if sin q = 7 In each triangle, angle is a right angle. Find the value of the trig function indicated. 9) Find csc if a =, b = 0 0) Find cot if a =, c = Find the value of the trig function indicated. ) sin q q ) sec q q In each roblem, angle is a right angle. Solve each triangle rounding answers to the nearest tenth. ) b = ft, m = ) a =.9 cm, b = cm R Kq0UE9Y wkiurtgaq wsjocfftwafrwet PLULjo.F U Hlklu crai`gqhtts NrgekseXrwvYeVdU.v L UM\amde Kw_iZtMhg siknmfji\noiitveq upprtenca`lacduqlxuoso. --

5 Use the given oint on the terminal side of angle q to find the value of the trigonometric function indicated. ) cos q ) cot q (-, ) (-, - ) Find the eact values of the five trigonometric ratios not given. 7) cos q = and sin q < 0 8) sec q = - and sin q < 0 a s0ww9q Kfutsak DSRoJftGwVaJrzen clzlkz.m f Hel]lU zr_itgihntts_ br_ensteurivjedp.v MlaZdFe owqictgh] gixnefjijnciwtkee LPLreucHaQltcSuDlussc. --

6 Trigonometr ` Pb0_\9H Ku_tta vslosfgtjw\aurdet vlklhl.[ P elzlo OrriwgDh[t_sk rre\sienrgvveodf. Midterm Review () Name ID: Date Period Find the amlitude, the eriod in radians, the hase shift in radians, the vertical shift, and the transformations required to obtain the grah starting with a basic trig function. Then sketch the grah using radians. ) = csc q mlitude: None Period: Phase shift: None Vert. shift: Down Transformations: Starting with csc q, horizontall shrink b, translate down ) = - + sin q mlitude: Period: Phase shift: None Vert. shift: Down Transformations: Starting with sin q, verticall shrink b, translate down H k0e9f OK`utUaY `SWoPf]twEaKrWeK ulolwg.w F nfltl qrviegehhtgsd gredspewrmveerd].t q OMakdReL nwiikthhj SIXnfi\niMtweT npsrueecahljcu_luupsz. --

7 ) = sin q + mlitude: Period: Phase shift: None Vert. shift: U Transformations: Starting with sin q, horizontall shrink b, translate u ) = - + cos ( q + ) mlitude: Period: Phase shift: Left 9 Vert. shift: Down Transformations: Starting with cos q, verticall stretch b, horizontall shrink b, translate left 9, translate down - - Solve each triangle. Round our answers to the nearest tenth. ) ) 8 mi mi mi. ft ft ft 7) 7 8 cm cm 8) cm 08.9 cm. 0.. cm 0 0 cm f P0Xk9z ekrumtau SSoff_tOwUaSrJeU L_LtQ.G V _slmlm _rqigihntzsu zrjesweqrivxeedo.g K bmardbey SwnitIhk \IYnfvirnriotne UPQrKeqcLamlbc\uDlluNsa. --

8 9) m = 0, c =, a = 0 m = 7.7, m = 7., b = 8. Or m =., m = 07.7, b =. 0) m =, m =, c = m =, a = 8, b = 9 ) m = 9, m =, c = 7 m =, a =, b = ) m = 9, b =, c = m =, m =, a = 9 ) m =, a =, b = 7 Not a triangle Draw an angle with the given measure in standard osition. ) - 7 ) ) 7) - 8 Find the reference angle. 8) 9) O E0z9o kkiuitpar `SLoYft`wGalruea mlhlzk.j n ZclGl IrdiZgIhrtsj DrhebsOeYrWvIePdS. U OMmadeeJ Wwnit\h_ ui`nefdi\nzitse bp\rwegcaallcqul`ulsd. --

9 0) ) Use identities to find the value of each eression. ) If csc ( q - ) = -.9, find sec (-q )..9 ) If sec q = -.9, find csc ( q - )..9 onvert each degree measure into radians and each radian measure into degrees. ) 7 ) 7 ) Find the value of the trig function indicated. 7) Find cos q if sin q = 8) Find sec q if sin q = 7 In each triangle, angle is a right angle. Find the value of the trig function indicated. 9) Find csc if a =, b = 0 7 0) Find cot if a =, c = Find the value of the trig function indicated. ) sin q q ) sec q q In each roblem, angle is a right angle. Solve each triangle rounding answers to the nearest tenth. ) b = ft, m = m = 9, a = 9 ft, c = 0. ft ) a =.9 cm, b = cm m = 0., m = 9.9, c = 8 cm r dv0od9g gku[toam asqotftnwna_rlee DLwLsu.^ P cvlxlk Ur^icgthXtKsN SrOesJeUrNv`eVd.n h mmlaadbed ZwitohY UIdnrfQifnwitDec wpzrvec[alzcgu^lyuxsm. --

10 Use the given oint on the terminal side of angle q to find the value of the trigonometric function indicated. ) cos q - ) cot q (-, ) (-, - ) Find the eact values of the five trigonometric ratios not given. 7) cos q = and sin q < 0 8) sec q = - and sin q < 0 sin q = -, tan q = - csc q = -, sec q =, cot q = - sin q = -, cos q = -, tan q = csc q = -, cot q = m Eq0WP9` LKu`tfaz isqoxfxtfwazrsez LL`Ld.l E u^lalm OrikgUhJtlse rjewszelrqvuevdz.j [ [MGaOdTeM awwimt]hb aisn_fzipn`iotset wphrqezcjaol]czumlwuosr. --

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