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首先,由b^2-a^2=1/2c^2得到:-cos2B=sin^2C
因为A=π/4,所以B+C=π-A=3π/4
2B+2C=3π/2
2B=3π/2-2C
cos2B=cos(3π/2-2C)=-sin2C
即:-cos2B=sin2C=2sinCcosC
因为-cos2B=sin^2C
所以sin^2C=2sinCcosC
sinC=2cosC
tanC=2
因为A=π/4,所以B+C=π-A=3π/4
2B+2C=3π/2
2B=3π/2-2C
cos2B=cos(3π/2-2C)=-sin2C
即:-cos2B=sin2C=2sinCcosC
因为-cos2B=sin^2C
所以sin^2C=2sinCcosC
sinC=2cosC
tanC=2
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谢谢!
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