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*Y Equivatent Representations Name 13, 12: : of Trigonometric Functions a * Practice Set 1 Date ____. Period ____— Problems 1 ~ 6, lise basis identities to simplify cach expression. 1, cos@ COS& 2. 1~cos?6 no 1—sin*@ 9 are > one Tine 7 ——— — zit) =| cotx sinx 4, cosysecy 7 81 3 ales | ar 5. sinx csc(—x) ae(~y= — 0SCix) 6. tanxcosx Sth & «(- escx) — ae = Mss =|sinx] ; _ Suny Le - x eb > al nx SHINY Sing” Problems 7 — 10, Factor each expression and use the fundamental {dentities to simplify. _, LOOM -_ y= ) 7. a = —cot(8) A del ry 8. cot?x a). x ieee = Le > | (08 yi men Cot (-C0s'x “fpoker ou Cob) co -T cot 3un?x | US 6- > — 006 Sirs COS guy > COOK“ ‘ N's ow /eg spa ge Lf t cans AGE |e ptt ae sin2@—sind~ cus26 - 2cos 6 + —(Jnsin?®) = ands — 20330 ~ sep ¢ +Sin 0CSind=l) “_sno Li-sin®) al ; v Jasin CophSCusine) sy ind (1sano) ? tho (+sef8) Problems 12-14, Prove each identity. 11. sin@cscO vm = costo iyo tunt 12. cos re + me) eat Sano. L _ <,; Jul DZ COS + Cobx k ine | e Si (oss i ; ; Sink > |- dine = bos*b al amma > Sun +608, wos) Gos p 2 WSO | ae = 2) UVLO P SIN X + US" depot +0 SS Suw add SIN r 3 sac rk pS Senx" + COS" % _ serx® Gos x? SUK Sy 7 oY 2 yy 3 Sinx 13. __sinx 14, sin’ escx — cotx =F Tocsd 1=cosé + _¢ }-C0SX > CBX a Cos OY Sin 54 Sinw 5 ICOSX _ SOY * cress puplio Sink 1 #C4%X baie gue? (/— apex l4ewsy\ = Sun? x py ; > hy we ati [-008°X = Sur yV7 1D 2oose-2 ‘ 2 (CoS6+1) = oor Cos? 6 - Qos + | 005.0 -| Lub Lacks Ni Tlactve! ~ % L Dense > 20086-2 > a( cos 6-1) ust > Q (tose!) (C0s6+!) CO => (80 -2eso-+1 Jawctor Lite ang polynental (CoS® -1)C oos-1) (22x41) (x1 Xx) put Hofether (@s-1) (ons-!) Aboss-(ase+) ss 2c0s9+!) - (Coy-1)( br¢.6-1) Cos e-! ae - 4, Sun a 2 Cas & “ Uaeny angHun |- C08 o Ovarckelf = J “1, nko 100s utp atot in ty [aso /-C0S & v Suy@= |-008 & =) Su? C089) = Sn 28-140089 _. nate —| +eOs® |-Gos & ON 2a FS b- a (aoa => —eorbyans® _ eoseCl-$S) — apse ~ | CoS ‘I= go 
