arctan(1/3)+arctan(1/2)的值为?

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arctan(1/3)+arctan(1/2)的值为?arctan(1/3)+arctan(1/2)的值为?arctan(1/3)+arctan(1/2)的值为?tan(arctan(1/3)+arc

arctan(1/3)+arctan(1/2)的值为?
arctan(1/3)+arctan(1/2)的值为?

arctan(1/3)+arctan(1/2)的值为?
tan(arctan(1/3)+arctan(1/2))
=(tanarctan(1/3)+tanarctan(1/2))/(1-tanarctan(1/3)*tanarctan(1/2))
=(1/3+1/2)/(1-1/3*1/2)
=(5/6) /(5/6)
=1
所以arctan(1/3)+arctan(1/2)=pai/4