问题标题:
已知函数f(x)=2sin(2x+π/6)若f(a/2)=-6/5(0<a<π),求cos2a的值
问题描述:

已知函数f(x)=2sin(2x+π/6)若f(a/2)=-6/5(0<a<π),求cos2a的值

金花回答:
  f(x)=2sin(2x+π/6)已知f(a/2)=2sin(a+π/6)=-6/5所以sin(a+π/6)=-3/5;cos2a=1-2sin^2(a)   sin(a+π/6-π/6)=sin(a+π/6)cosπ/6-cos(a+π/6)sinπ/6可算出sina即可求出cos2a
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