cos(19π/6)+tan(16π/3)=?

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cos(19π/6)+tan(16π/3)=?

cos(19π/6)+tan(16π/3)=?
cos(19π/6)+tan(16π/3)=?

cos(19π/6)+tan(16π/3)=?
所求式
=cos[(18π+π)/6]+tan[(15π+π)/3]
=cos(3π+π/6)+tan(5π+π/3)
=-cosπ/6+tanπ/3
=-√3/2+√3
=√3/2.

cos(19π/6)+tan(16π/3)
=cos(2π+2π-5π/6)+tan(4π+2π-2π/3)
=cos(2π-5π/6)+tan(2π-2π/3)
=cos5π/6-tan2π/3
=cos(π-π/6)-tan(π-π/3)
=-coπ/6+tanπ/3
=-√3/2+√3
=√3/2

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