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Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

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Worksheet by Kuta Software LLC. Answers to Double-Angle and Half-Angle Identities. 1) −. 2 + 2. 2. 2). 2 − 2. 2. 3). 6 − 2. 4. 4). 2 + 2. 2. 5). 6 − 2. 4. 6).
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Double-Angle and Half-Angle Identities PDF

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Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC Math Analysis Honors - Worksheet 96 Double-Angle and Half-Angle Identities ©d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF jLrLKCU.T S zA5ljlE irWiqgOhEtQsr 4rLeIsnevrCvqe1dc.H Use a double-angle or half-angle identity to find the exact value of each expression. 7π 7π 1) cos 2) sin 8 8 3) sin 165° 1 4) sin 112 ° 2 5) sin 15° 23π 6) cos 12 1 5π 7) sin 22 ° 8) sin − 2 12 3π 10) sin 75° 9) cos 8 8 7 3π 11) sinθ = − and 180° < θ < 270° 12) sin θ = − and < θ < 2π 17 25 2 θ Find sin 2θ Find cos 2 9 4 13) sinθ = − and 270° < θ < 360° 14) cosθ = and 270° < θ < 360° 22 5 Find cos 2θ θ Find cos 2 4 4 π 15) cosθ = − and −270° < θ < −180° 16) cosθ = and 0 < θ < 5 5 2 θ Find cos 2θ Find sin 2 ©b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ dLtLZC5.6 3 pAxlWlu Lr0iugBhzthsz zrjeespearUvuerdK.I 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0AtlEgTerbxrvar I25.t Worksheet by Kuta Software LLC Answers to Double-Angle and Half-Angle Identities 2 + 2 2 − 2 6 − 2 2 + 2 1) − 2) 3) 4) 2 2 4 2 6 − 2 6 + 2 2 − 2 − 6 − 2 5) 6) 7) 8) 4 4 2 4 2 − 2 6 + 2 17 336 9) 10) 11) − 12) − 2 4 17 625 161 3 10 3 10 7 13) 14) − 15) − 16) 242 10 10 25 ©f p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em JLdLNCW.1 4 ZAFlVlk RrdiOgghNtLsD 3rDe7sZebrSvdeudz.l s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 l2r.l Worksheet by Kuta Software LLC

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Worksheet by Kuta Software LLC. Answers to Double-Angle and Half-Angle Identities. 1) −. 2 + 2. 2. 2). 2 − 2. 2. 3). 6 − 2. 4. 4). 2 + 2. 2. 5). 6 − 2. 4. 6).
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