sin27°+sin283°≈0.122+0.992=0.9945,
sin222°+sin268°≈0.372+0.932=1.0018,
sin229°+sin261°≈0.482+0.872=0.9873,
sin237°+sin253°≈0.602+0.802=1.0000,
sin245°+sin245°= + =1.
据此,小明猜想:对于任意锐角α,均有sin2α+sin2(90°-α)=1.
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