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令t=sinx+cosx(-2^0.5≤t≤2^0.5)則t^2=(sinx)^2+2sinxcosx+(cosx)^2=2sinxcosx+1∴sinxcosx=t^2/2-1/2∴y=t^2/2+t-1/2又∵-2^0.5≤t≤2^0.5∴-1≤y≤2^0.5+1/2當運算式中同時出現sinx+cosx和sinxcosx時經常…
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