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已知γ+β+α=π/2,sinγ+sinβ+sinα的最大值?
α+β+γ=2π 求sinα+sinβ+sinγ 的最大值sinα+sinβ+sinγ=sin(2π-α-β)+sinα+sinβ =sinα+sinβ-sin(α+β) =sinα+sinβ-sinαcosβ-cosαsinβ =sinα(1-cosβ)...
2024-01-16 -
y=sin³x+sinx³怎么求导
y=sin²x*sinx²求导~求过程这里是复合函数求导,法则如下:复合函数y=f(g(x))的导数和函数y=f(u),u=g(x)即y=f(g(x))的导数间的关系为y'=f'【g(x)】*g'(x)即y对x的导数等于y对u的导数与u...
2023-12-07 -
x^2+2*x*sin(x-pi/12)+2*cos(x-pi/12)=(pi-pi/12)^2-2
函数f(x)=sin^2(x+pi/12)+cos^2(x-pi/12)的最大值f(x)=sin²(x+π/12)+cos²(x-π/12) =1-cos²(x+π/12)+cos²(x-π/12) =1+[cos(x-π/12)+cos(x+π/12)][cos(x-π/12)-co...
2023-04-07 -
已知α,β为锐角,sin(α+2β)=1/5,cosβ=1/3,则sin(α+β)的值为
若α、β都是锐角,且sinα—sinβ=-1/2;,cosα—cosβ=1/2;,求tan(α—β)的值?sinα—sinβ=-1/2 (1) cosα—cosβ=1/2 (2) (1)²+(2)² 1-2sinαsinβ+1-2cosαcosβ=1/2 2-2co...
2023-04-02