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LIC Casablanca Mediterranean Sea MOROCCO 7/20/2020 Apex Learning - Test RADIANS AND ARC LENGTHS Wamonoght :(TOY) fest More S mee It enlagiA 2. Answer the following questions about radians and arc lengths. -Car Part I: Explain how you would convert an angle measurement in degrees to radians. (2 points) Show la words of mua of bobivory google 28 16MAINT THEIR Part II: Explain how you would convert an angle measurement in radians to degrees. (2 points) com Part ! dred Part III: When calculating the length of an arc using the formula s = 0, does it matter which unit of measurement you use when measuring the central angle, 0 : radians or degrees? Explain your answer. (2 points) Ismineb owt ord able to ritenal ert brit of oftenle sill bris signs "as arti sBU : had (onion S) 3. The arc length 0 shown below is 15 feet. erance angle on your slunch. Wiseintel Ay ble to ripns! erdt bail neo veY : na (string S) .abo belq Itmissb owl of s able to ripnel 5 + 15 feet ed with the angle, thin be Part I: State the equation that relates arc length to central angle. (2 points) https://course.apexlearning.com/public/cpop/5/10/4/1420750 2177/20/2020 Apex Learning - Test Part II: Find the angle 0 in radians. (2 points) s gnilay anoftonut onusmonogh mario to sulay erdt brit ill mambaop mi - - sows bna - - one novo a Show way worte Aimnabi nestoparty9 Part III: Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree. (2 points) log A) . 0598 bos 0200 thes of at least two graphs, labeling each of the graphs, You proximate the critical hey of eco of the graphs (8 pointe) TRIGONOMETIC RATIOS AND THE UNIT CIRCLE 4. Find the exact value of tan 2 . No decimals are allowed, and no calculators are allowed. Show your work. Part 1: Sketch the angle. Identify the reference angle on your sketch. (2 points) (ainioq 8) enel to sulsy 7. Corden to they function P(X) = cos( ) col the funston Clary (1 cotto) Part II: Identify the terminal point associated with the angle, then find the tangent of the angle. (3 points) https://course.apexlearning.com/public/cpop/5/10/4/1420750 https://course.apexlearning.com/puuIw/upup U .. "7/20/2020 Apex Learning - Test (atnlog S) .ensinst ni 0 signs efl bnit :It find 5. Given sing = -_ and csco = - in quadrant Ill, find the value of other trigonometric functions using a Pythagorean Identity. Show your work. Part 1: Find the value of cose and sece. (4 points) peb of II 169 montowens woy haveon all ging (almtog S) BUOSHO TIMU BHT ONA SOITAS SITEMONODIRT woy world bewolle sis azotelubiss of bris bewolfe of alsmiseb on . He ner to oulov josxe aris bnit . NOW vino slane song Part II: Using your answers from Part I, find the value of tane. (3 points) clone sfit to insgnet er bril nott olgas od, fillw belelopace inlog lanimist adt vinobl:il 189 (ainlog 8) https://course.apexlearning.com/public/cpop/5/10/4/1420750 row 10/4/1420750 4/7YTIC ROMANIA The 7/20/2020 Apex Learning - Test Ramas GRAPHS OF TRIGONOMETRIC FUNCTIONS Istanbul TUR 6. Consider these two functions: Sea F(x) = 2 cos(xX) G (x) = -cos(2x) tion not sri to ftire neodg ard mi redw an net Part I: What are the amplitudes of the two functions? (2 points) (ainlog S) (x) nottonut erb to noffalangu losingv enis at fedw :VI has Part II: What are the periods of the two functions? (2 points) BEATITMEI OUTIEMOMODINT Part III: Draw sketches of at least two periods of the two graphs, labeling each of the graphs. You may have to approximate the critical points of one of the graphs. (8 points) 100 .8 bria mue to enou mnabi ns el ad me a me forll works of nmutoo mog A) onizoo fot eslumnot constelfib WOBEST lanigio and to ebla irigh ert no nisvid nolteups 4 -3 - 2 -1 1 2 3 4 bris mue erli to anolfiniteb and vlogA onlegg jot esitimebl songis]tib -2- anoleesiqxe en! Villamia 7. Consider the function G(x) = 2cos | 2x x+ 2" ] -5 with respect to the parent function F(x) = cos(X). Part I: What is the amplitude of the function G(x)? (1 point) https://course.apexlearning.com/public/cpop/5/10/4/1420750 5/ "ups://course.apexlearning.com/public/cpop/5/10/4/1420750OCEAN MALTA 7/20/2020 Apex Learning - Test Part II: What is the period of the function G(x)? (1 point) TOITSMONOSENT 30 2719ARD tion nodonut ows sport bieno) .a Part III: What is the phase shift of the function G(x)? (2 points) ainlog S Senobionul out art to cobunlama aft ein forty : heg Part IV: What is the vertical translation of the function G(x)? (2 points) (einlog S) fenoifort ows erdi to ebohoq sell one ledW :$1 987 TRIGONOMETRIC IDENTITIES 8. Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that sina sin b= = cos(a - b) - cos(a+ b)] is an identity. Use the definitions of sum and difference formulas for cosine. (4 points) Calculation Reason Given on the right side of the original equation Apply the definitions of the sum and difference identities for cosine Simplify the expressions S (20as - (x)@) noitonut arti webienod . https://course.apexlearning.com/public/cpop/5/10/4/1420750 6/7
