(sinx/2)^6+(cosx/2)^6+3最小正周期!

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(sinx/2)^6+(cosx/2)^6+3最小正周期!(sinx/2)^6+(cosx/2)^6+3最小正周期!(sinx/2)^6+(cosx/2)^6+3最小正周期!(sinx/2)^6+(c

(sinx/2)^6+(cosx/2)^6+3最小正周期!
(sinx/2)^6+(cosx/2)^6+3最小正周期!

(sinx/2)^6+(cosx/2)^6+3最小正周期!
(sinx/2)^6+(cosx/2)^6+3
=[(sinx/2)^2+(cosx/2)^2][(sinx/2)^4-(sinx/2)^2(cosx/2)^2+(cosx/2)^4]+3
=[(sinx/2)^2+(cosx/2)^2]^2-3(sinx/2)^2(cosx/2)^2+3
=1-3/4(sinx)^2+3
=4-3/4*(1-cos2x)/2
=29/8+3/8cos2x
最小正周期T=2Pai/2=Pai