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sin(5π/3)等于多少?怎么求的?

一、计算sin(-5π/3)的值的步骤: (1)将sin(-5π/3)变为sin(-2π+π/3) (2)利用正弦诱导公式sin(-2π+a)=sina 计算sin(-2π+π/3)=sin(π/3)=√3/2 二、计算sin(-5π/3)的值的过程、 sin(-5π/3) =sin(-2π+π/3) =sin(π/3) ...

解答:y=sin(π/3-x/2)=-sin(x/2-π/3)增区间,即y=sin(x/2-π/3)的减区间∴2kπ+π/2≤x/2-π/3≤2kπ+3π/2即4kπ+5π/3≤x≤4kπ+11π/3结合x∈[-2π,2π]增区间是[5π/3,2π]和[-2π,-π/3]

sin(5π/3)=-sin(π/3) = -√3/2 cos(5π/3)=cos(π/3) = 1/2 tan(5π/3)=-tan(π/3) = -√3

奇变偶不变,符号看象限

可以用诱导公式阿 sin5π/6=sin(π-π/6)=sinπ/6 或者画正弦函数图像 借助图像很清晰又很快

这里不存在为什么的啊 5π/3=2π-π/3 那么当然得到sin5π/3=sin(2π-π/3) 而且有sin5π/3=π/3 记住sin(a+2π)=sina,sin(π-a)=sina等等式子

sin(-35π/17)=sin(-2π-π/17)=-sin(π/17) 这样对吧。

sin(α-π)=3/5 sin(π-α)=-3/5 sinα=-3/5 cos2α=1-2sin²α =1-18/25 =7/25

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