
高一数学!求救!第18题
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从图可知A=2,Asinψ=1,sinψ=1/2,ψ=π/6,sin(ω*11π/12+π/6)=0,ω=2;
f(x)=2sin(2x+π/6);
f(a)=2sin(2a+π/6)=6/5,sin(2a+π/6)=3/5, cos(2a+π/6)=-4/5,
sin(2a+π/6)=√3/2*sin2a+1/2*cos2a; cos(2a+π/6)=√3/2*cos2a-1/2sin2a,
cos2a=3/10-2√3/5
f(x)=2sin(2x+π/6);
f(a)=2sin(2a+π/6)=6/5,sin(2a+π/6)=3/5, cos(2a+π/6)=-4/5,
sin(2a+π/6)=√3/2*sin2a+1/2*cos2a; cos(2a+π/6)=√3/2*cos2a-1/2sin2a,
cos2a=3/10-2√3/5
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