设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=
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设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin
设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=
设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=
设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=
1/100
f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2 sin(x+π/4)
=(1+cos^2x-sin^2x)/2cosx + sinx +a^2 sin(x+π/4)
=(sin^2x+cos^2x+cos^2x-sin^2x)/2cosx +sinx +a^2
sin(x+π/4)
=2cos^2x/2co...
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f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2 sin(x+π/4)
=(1+cos^2x-sin^2x)/2cosx + sinx +a^2 sin(x+π/4)
=(sin^2x+cos^2x+cos^2x-sin^2x)/2cosx +sinx +a^2
sin(x+π/4)
=2cos^2x/2cosx +sinx +a^2 sin(x+π/4)
=cosx+sinx+a^2 sin(x+π/4)
=√2
sin(x+π/4)+ a^2 sin(x+π/4)
=(√2+ a^2 )sin(x+π/4)
sin(x+π/4)max=1
(√2 + a^2 ) =√2+3
a=±√3
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设f(x)=(1+cos2x)/2sin(π/2-x)+sinx+a^2sin(x+π/4)的最大值为√2+3,则常数a=
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