(1)
cos2C=1-c^2/b^2
==> 1-2(sinC)^2 = 1-(sinC/sinB)^2
==> sinB = √2/2
==> B=45° (锐角三角形)
(2)
cosA=3/5
==> sinA=4/5
根据正弦定理:
a/b = sinA/sinB
==> a=b*sinA/sinB
==> a=16/5
(1)
cos2C=1-c^2/b^2
==> 1-2(sinC)^2 = 1-(sinC/sinB)^2
==> sinB = √2/2
==> B=45° (锐角三角形)
(2)
cosA=3/5
==> sinA=4/5
根据正弦定理:
a/b = sinA/sinB
==> a=b*sinA/sinB
==> a=16/5