Rt△ABC中,∠C=90°,若a=8,b=6,则sinB=______;若b=24,c=30,则cotA=______.-数学

题目简介

Rt△ABC中,∠C=90°,若a=8,b=6,则sinB=______;若b=24,c=30,则cotA=______.-数学

题目详情

Rt△ABC中,∠C=90°,若a=8,b=6,则sinB=______;若b=24,c=30,则cotA=______.
题型:填空题难度:中档来源:不详

答案

(1)Rt△ABC中,∠C=90°,a=8,b=6,
则c=
a2+b2
=10,
∴sinB=class="stub"b
c
=class="stub"3
5

(2)b=24,c=30
则a=
c2-b2
=18,
∴cotA=class="stub"a
b
=class="stub"4
3

故答案为class="stub"3
5
class="stub"4
3

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