Pre-Calculus Name___________________________________ ©j r2A0J1b6J ZK`ustJax KSVoZfmtWwBaArXeS jLqLWCd.D h JA\lllX xr\isgbhjtIs_ erJeFsWeGr]vUeDdz. Double Angle and Half Angle Review Date________________ Period____ Use a double-angle identity to find the exact value of each expression. 4 and 270° < q < 360° 5 Find tan 2q 1) cos q = 4 and 180° < q < 270° 5 Find tan 2q 2) cos q = - 3 and 90° < q < 180° 5 Find sin 2q 15 and 270° < q < 360° 15 Find cos 2q 4) sin q = 4 41 and 90° < q < 180° 41 Find cos 2q 6) tan q = - 3) tan q = - 5) sin q = 24 and 90° < q < 180° 25 Find cos 2q 7) cos q = - 3 3p and < q < 2p 5 2 Find sin 2q 9) sin q = - 3 and 270° < q < 360° 4 Find sin 2q 3 10 p and < q < p 10 2 Find tan 2q 8) cos q = - 8 p and 0 < q < 15 2 Find cos 2q 10) tan q = Use a half-angle identity to find the exact value of each expression. 5 and 180° < q < 270° 13 q Find tan 2 11) sin q = - 4 and 0° < q < 90° 5 q Find sin 2 12) cos q = Worksheet by Kuta Software LLC -1- ©D W2n0e1w6u `KZuZtlaE TSdoAfHtwwrakr^ec qLKLcCR.i B YAalqlO [rpimgKhUtfsa ^r`eLsNeirQvee`dq.P L lMEaUdSej owGiwt[hs ZIAnbfpiznpidtOeI LAClfgLepbhrAai ]2C. 3 and 90° < q < 180° 4 q Find cos 2 13) tan q = - 4 and 180° < q < 270° 5 q Find tan 2 15) cos q = - 3 and 180° < q < 270° 5 q Find tan 2 17) sin q = - 3 3p and < q < 2p 4 2 q Find sin 2 19) tan q = - 2 and 0° < q < 90° 2 q Find tan 2 14) cos q = 16) cos q = Find sin 12 and 90° < q < 180° 13 q 2 3 3p and < q < 2p 4 2 q Find tan 2 18) tan q = - 3 p and 0 < q < 5 2 q Find cos 2 20) sin q = Use a double-angle or half-angle identity to find the exact value of each expression. 21) cos 105° 23) tan 75° 22) tan p 8 24) sin 5p 8 1 25) sin 22 ° 2 Worksheet by Kuta Software LLC -2- ©X l2n0s1x6K pKGu[taaz _SpoAfytVwNaTrDeY ^LVLCCR.w R oAllblN _r`itgLhdtOs\ Orme_sBeYrKvheNdV.o ` sMNa`doeX HwZiktZhL NILnCffiZn]iUt]ec QAslJgre`bvrrav ]2b.