1、三角函数的求值-PPT课件D41.(,0),cos,25tan2772424.242477xxxABCD 若则的值为()B52.sin),sin2413120119120119.169169169169xxABCD 若(则的值为()B002020sin110sin203.cos 155sin 1551133.2222ABCD的值为()B214.tan),tan(544tan(4133133.18222218ABCD若()=,则)的值为()14005.sin15sin75130001tan156.3tan60tan15给角求值给值求值给值求角【例【例1】求】求(1)00tan204sin20.的
2、值 204sin20cos20sin202sin40:cos20cos20sin解 原式=sin202sin(6020)cos20sin202sin60cos202cos60sin20cos203【例【例1】求】求(2)0000sin10 sin30 sin50 sin70.的值 00000000:sin10 sin30 sin50 sin70cos10 cos30 cos50 cos70st 解法1 设=0000000016sin20 sin60 sin100 sin140cos70 cos30 cos10 cos50stt116s 122.cos(),sin()2923,cos()22例
3、已知:,且0,求的值.,022解:,42422214 5sin1 cos()12281925cos1 sin223 coscos222coscossinsin2222154 5 27 5939327 2239cos2cos12729 故 113.sin(),sin()23tan:tan例 已知:,求的值.11sin(),sin()23解:由得1sincoscossin21sincoscossin311tan23511tan23114.tan(),tan,(0,)272 例已知:且。求的值.tan()tan1tantan(),1 tan()tan21(0,),tan0221tan0(,)7210,tan()022 解析:而(0,)而而2tan 2)tan()11tantan()42211tantan()314()(-,0)且(225.tan,cot2235cossin4xkxk例已知:是方程的两根。求的值(,).解:由已知 21tancot0tancot(3)12kk,且25,5kk得22tancottancot41又tancot且51tancot5tan2tancot1 222tan1(cossin)1 sin21(52 5)1tan5 cossin52 5cossin5