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tAn6分之37派

19.37

cos(47π/2)=cos(24π-π/2)=cos(-π/2)=cos(π/2)=0tan(37/6π)=tan(6π+π/6)=tan(π/6)=(√3)/3sin13π/3=sin(4π+π/3)=sin(π/3)=(√3)/2cos(103π/4)=cos(26π-π/4)=cos(-π/4)=cos(π/4)=(√2)/2 tan(17π/4)=tan(4π +π/4)=tanπ/4=1sin(-11π/6)=sin(-2π+π/6)=sin(π/6)=

37π/6=6π+π/6sin(37π/6-a)=sin(π/6-a)=sinπ/6cosa-sinacosπ/6=1/2*(-4/5)+3/5*√3/2=(3√3-4)/10不用加负号

=tan6π=tan0°=0

tan(-π/6)=-tan(π/6)=-√3/3

a是第二象限的角,sina=3/5 cosa=-4/5sin2a=2sinacosa=-24/25cos2a=2cos^2a-1=7/25sin(6分之37派-2a)=sin(π/6-2a)=sinπ/6cos2a-cosπ/6sin2a=1/2*7/25-√3/2*(-24/25)=(7+24√3)/50

tan六分之七派相当于负的六分之一派,可求得为负的三分之根号三!⊙⊙

因为-π/6=-30°,sin(-π/6)=-sinπ/6=-1/2cos(-π/6)=cosπ/6=√3/2tan(-π/6)=-tanπ/6=-√3/3cot(-π/6)=-cotπ/6=-√3.即-30°在第四象限,正弦值,正切值,余切值为负,余弦值为正.

tan陆0=tan(二0+四0)=(tan二0+tan四0)/(一-tan二0tan四0) tan二0+tan四0=tan陆0(一-tan二0tan四0) (tan二0+tan四0+tan一二0)/tan二0*tan四0 =[tan陆0(一-tan二0tan四0)-tan陆0]/(tan二0*tan四0) = - (tan陆0tan二0tan四0)/(tan二0*tan四0) = - tan陆0 = - √三负根号三

tan30°=(√3/3)=1/3

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