计算:sin(-14π/3)+cos(-20π/3)+tan(-53π/6)

题目

计算:sin(-14π/3)+cos(-20π/3)+tan(-53π/6)

答案

=sin(-4π-2π/3)-cos(-6π-2π/3)+tan(-8π-5π/6)
=sin(-2π/3)-cos(-2π/3)+tan(-5π/6)
=-根号3/2+1/2-根号3
=(1-3根号3)/2