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f(x)=sin(派-x)cos(2派-x)/sin(派/2+x)tan(派+a) 求f(31派/3)
人气:330 ℃ 时间:2020-09-25 17:20:51
解答
f(x)=sin(π-x)cos(2π-x)/sin(π/2+x)tan(π+x)
=sinxcosx/cosxtanx
=cosx
f(31π/3)=cos(10π+π/3)=cosπ/3=1/2它是tan(π+a)不是x(x)=sin(π-x)cos(2π-x)/sin(π/2+x)tan(π+a)=sinxcosx/cosxtana =sinx/tana f(31π/3)=sin(31π/3)/tana=√3/(2tana)
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