Double-Angle and Half-Angle Identities

1 Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2 . 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar Worksheet by Kuta Software LLC.

2 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2.

3 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression.

4 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2 . 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar 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.

5 F p2k0T1m4A dKLuntna0 BSgo8fGt9wrayr3em 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2 . 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2.

6 B B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8.

7 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2 . 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC.

8 Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2 . 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar Worksheet by Kuta Software LLC.

9 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression. 7 7 . 1) cos 2) sin 8 8. 3) sin 165 1. 4) sin 112 . 2. 5) sin 15 23 . 6) cos 12. 1 5 . 7) sin 22 8) sin . 2 12. 3 10) sin 75 . 9) cos 8. 8 7 3 . 11) sin = and 180 < < 270 12) sin = and < < 2.

10 17 25 2. Find sin 2 . Find cos 2. 9 4. 13) sin = and 270 < < 360 14) cos = and 270 < < 360 . 22 5. Find cos 2 . Find cos 2. 4 4 . 15) cos = and 270 < < 180 16) cos = and 0 < <. 5 5 2. Find cos 2 . Find sin 2. b B270X1T44 sKduxtSaI oSUoNfDt7wEaArjeQ 3 pAxlWlu Lr0iugBhzthsz 9 sMEavdFev IwSiktVh5 UI7nafFiBnZiTt2eE 0 AtlEgTerbxrvar 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 4 ZAFlVlk RrdiOgghNtLsD s GMCa1djeF vwNiYtmhD BIpn9f3iRn2i7tReC kA8lRgQe3byrwa1 Worksheet by Kuta Software LLC. Math Analysis Honors - Worksheet 96. Double-Angle and Half-Angle Identities d H2j0Y1j45 MKRuNtnaZ SSWolfPtMwEaAroeF S zA5ljlE irWiqgOhEtQsr Use a Double-Angle or Half-Angle identity to find the exact value of each expression.