f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.已知f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.

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f(x)=sin(x加x/6)-tanα乘cosx且f(x/3)=1/2求tanα的值.已知f(x)=sin(x加x/6)-tanα乘cosx且f(x/3)=1/2求tanα的值.f(x)=sin(x

f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.已知f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.
f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.
已知f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.

f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.已知f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.
f(x)=sin(x+π/6)-tanαcosx f(π/3)=1-1/2tanα=1/2 ∴tanα=1 g(x)=f(x)+cosx=sin(x+π/6) ∴令x+π/6∈[-π/2,π/2] ∴单调递增区间为[-2π/3,π/3]