若sin(π+a)=1/根號10,則sec(-a)+sin(-a-90°)/csc(540°-a)-cos(-a-270°)的值
若sin(π+a)=1/根號10,則sec(-a)+sin(-a-90°)/csc(540°-a)-cos(-a-270°)的值
A,-1/3 B,+-1/27 C,1/3 D-根號3/3
A,-1/3 B,+-1/27 C,1/3 D-根號3/3
數(shù)學(xué)人氣:734 ℃時間:2020-06-14 22:24:22
優(yōu)質(zhì)解答
sin(π+a)=1/√10,則sina=-1/√10[sec(-a)+sin(-a-90°)]/[csc(540°-a)-cos(-a-270°)]=(-1/cosa-cosa)/(1/sina-sina)={[1-(cosa)^2]/cosa}/{[1-(sina)^2]/sina}=[(sina)^2/cosa]/[(cosa)^2/sina]=(sina)^3/(cosa)^...
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