已知sin(x+π/6)=1/4,则sin(7π+x)+sin^2(5π/6-x)的值
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已知sin(x+π/6)=1/4,则sin(7π+x)+sin^2(5π/6-x)的值
我只知道前面那一项等于1/4,后面的就不知道怎么算了~
前面一项题目应该是:sin(7π/6+X)
抱歉打错了- -
我只知道前面那一项等于1/4,后面的就不知道怎么算了~
前面一项题目应该是:sin(7π/6+X)
抱歉打错了- -
![已知sin(x+π/6)=1/4,则sin(7π+x)+sin^2(5π/6-x)的值](/uploads/image/z/1797109-61-9.jpg?t=%E5%B7%B2%E7%9F%A5sin%28x%2B%CF%80%2F6%29%3D1%2F4%2C%E5%88%99sin%287%CF%80%2Bx%29%2Bsin%5E2%285%CF%80%2F6-x%29%E7%9A%84%E5%80%BC)
-sin(π+x)=sinx -sin(-π+x)=sinx
前面项是-1/4
由sinx=-sin(-x)得:sin(5π/6-x) = -sin(x-5π/6) = -sin(x+π/6-π) = sin(x+π/6) = 1/4
原式=-1/4+1/16=-3/16
前面项是-1/4
由sinx=-sin(-x)得:sin(5π/6-x) = -sin(x-5π/6) = -sin(x+π/6-π) = sin(x+π/6) = 1/4
原式=-1/4+1/16=-3/16
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