求图中17题第三问,三角函数的,谢谢!
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由(1)得:f(x)=2sin(2x - π/3) + 1
则f(π/8)=2sin[2•(π/8) - π/3] + 1
=2sin(π/4 - π/3) + 1
=2[sin(π/4)cos(π/3) - cos(π/4)sin(π/3)] + 1
=2[(√2/2)•(1/2) - (√2/2)•(√3/2)] + 1
=(√2 - √6)/2 + 1
=(√2 - √6 + 2)/2
则f(π/8)=2sin[2•(π/8) - π/3] + 1
=2sin(π/4 - π/3) + 1
=2[sin(π/4)cos(π/3) - cos(π/4)sin(π/3)] + 1
=2[(√2/2)•(1/2) - (√2/2)•(√3/2)] + 1
=(√2 - √6)/2 + 1
=(√2 - √6 + 2)/2
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