△ABC中,a、b、c分别是∠A、∠B、∠C的对边,且a:b:c=3:4:5,那么sinA=______,cosA=______,tanB=______.
∵a:b:c=3:4:5,
设a=3m,则b=4m,c=5m.
∵c2=a2+b2
∴△ABC是直角三角形,且∠C=90°.
故sinA=
= a c
,cosA=3 5
= b c
,tanB=4 5
= b a
.4 3
△ABC中,a、b、c分别是∠A、∠B、∠C的对边,且a:b:c=3:4:5,那么sinA=______,cosA=______,tanB=______.
∵a:b:c=3:4:5,
设a=3m,则b=4m,c=5m.
∵c2=a2+b2
∴△ABC是直角三角形,且∠C=90°.
故sinA=
= a c
,cosA=3 5
= b c
,tanB=4 5
= b a
.4 3