已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值
人气:235 ℃ 时间:2020-03-24 14:57:46
解答
g(x)=sin(2x+π/3)-√3 cos(2x+π/3)=2[0.5sin(2x+π/3)-(√3/2)cos(2x+π/3)]=2sin[2x+(π/3)-(π/3)]=2sin2x已知tana=√2,所以g(a)=2sin2a=4sina*cosa=4*(√2/√3)*(1/√3)=4√2/3谢谢啦我已经知道为什么了~
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