sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3)

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sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3)

sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3)
sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3)

sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3)
原式=sin(-4π+1/6π)+cos(13/7π)tan4π-cos(4π+1/3π)
=sin1/6π+cos(13/7π)*0-cos1/3π
=sin1/6π-cos1/3π
=0
注:sin(2kπ+A)=sinA
cos(2kπ+B)=cosB
tan2kπ=0
其中:A,B为任意角
k取整数

cos(-23π/4)+sin(37π/6) cosπ/6=(),sinπ=() sin(-23π/6)+cos(13π/7)tan4π-coa(13π/3) tan(13π/3)+sin(-5π/2)+cos(-23π/6) 利用和差角公式化简 (2)sin(π/3+α)+sin(π/3-α)(2)sin(π/3+α)+sin(π/3-α)(3)cos(π/4+α)-cos(π/4-α)(4)cos(60°+α)+cos(60°-α)(5)sin(α-β)cosβ+cos(α-β)sinβ(6)cos(α+β)cosβ+sin(α+β)sinβ 由cos(a+b)=cos a cos b-sin a sin b cos(a-b)=cos a cos b+sin a sin b解题设a为锐角,证:1、2分之根3乘cos a + 2分之1乘sin a=cos(6分之π-a)2、cos a-sin a=根号2cos(4分之π+a) [Sin(6π+a)Cos(7π-a)]/[Sin(3π+a)+Sin(-π+a) :(1)sin(2π-α)cos(π+α)cos(π/2+α)cos(13π/2-α)/cos(π-α)sin(5π-α)sin(-π-α)sin(9π/2+α)(2)sin(25π/6)+cos(25π/3)+tan(-27π/4) 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π+α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2(-sinα)(-cosα)+cosα/[1+sin² cosθ=-3/5,角θ在(π/2,π)求2/cos(π/2-θ)+2cos(π-θ)sin(13/6π)/sinθ的值,cosθ=-3/5,角θ在(π/2,π)求2/cos(π/2-θ)+2cos(π-θ)sin(13/6π)/sinθ的值 设f(α)=[2sin(π+α)cos(π-α)-cos(π+α)]/[(1+sin^2α+sin(π-α)-cos^2(π-α),求f(-23π/6)的值 设f(α)=[2sin(π+α)cos(π-α)-cos(π+α)]/[(1+sin^2α+sin(π-α)-cos^2(π-α),求f(-23π/6)的值 已知6sin²α+sinαcosα-2cos²α=0,α∈(π/2,π),求值1).(sinα-3cosα)/(sinα-cosα);2).sinαcosα-sin²α;3).sin²α-3cosαsinα-2 设f(a)=2sin(π+a)cos(π-a)-cos(π+a)/1+sin^2a+cos(3π/2+a)-cos^2(π/2+a),求f(-23π/6)的值. 求值sin25π/6+cos25π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)-sin(-5π/6)×cos(-5π/3) 比较大小sin(-π/4)与sin(π/6)RT 2:cos(-23π/5)与cos(-17π/4) sin[α-(π/3)]+cos[α+(13π/6)]化简还有sin[α-(5π/4)]+cos[α+(π/2)] cos^6(π/8)-sin^6(π/8)=求值,[cos^2(π/8)-sin^2(π/8)][cos^4(π/8)+sin^4(π/8)+cos^2(π/8)sin^2(π/8)]=cos(π/4)[1-cos^2(π/8)sin^2(π/8)]=cos(π/4)[1-[sin^2(π/4)]/4]==7√2/16