tan(π+α)=3 则 sin(π+α)cos(π-α)=?知道答案是-(3/10)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 05:59:14
tan(π+α)=3 则 sin(π+α)cos(π-α)=?知道答案是-(3/10)
xP;N@J5jvmbi  oh .E38*W`$ yoގݡMR;i;89 ъ:,^Hkp`=K_]QPmAA([CTHb'wD}[vT^@VCk8޷zfVX%3z9U~(oW\r6&ܮx9ːഥߵWg9,%G 5D+6Z0ZQ

tan(π+α)=3 则 sin(π+α)cos(π-α)=?知道答案是-(3/10)
tan(π+α)=3 则 sin(π+α)cos(π-α)=?
知道答案是-(3/10)

tan(π+α)=3 则 sin(π+α)cos(π-α)=?知道答案是-(3/10)
tan(π+a)=-tana=3 故tana=-3
sin(π+a)cos(π-a)=sinacosa=sinacosa/1=sinacosa/(sin^2a+cos^2a)=tana/(tan^2a+1)=-3/(3^2+1)=-3/10
化为正切的那一步是将分子分母同时除以cos^2a

[sin(2π-α)tan(π+α)cot(-π-α)]/[cos(π-α)tan(3π-α)]
=-sinα*tanα(-cotα)/[(-cosα)(-tanα)]
=sinα/sinα
=1