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2017_2018学年九年级数学下册第七章锐角三角形第67讲正弦课后练习（新版）苏科版.doc

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1、 1 -第 67讲 正弦、余弦、正切定义 题一： (1)如图，在 Rt ABC中， C=90， AC=12， AB=13，则 sinA=_；cos A=_；tan A=_；sinB=_；cos B=_；tan B=_(2)如图，Rt ABC中 ， C=90，则 sinA=_，cos A=_，tan A=_；sinB=_，cos B=_，tan B=_题二：(1)在 ABC中， C=90， AC=1， BC= 3，则 sinA=_；cos A=_；tan A=_；sinB=_；cos B=_；tan B=_(2)如图，在 Rt ABC中， C=90， D是 BC边上一点， AC=2， CD=1

2、设 CAD= 则 sin =_；cos =_；tan =_；sin(90 )=_；cos(90 )=_；tan(90 )=_题三：在 Rt ABC中， C=90，sin B= 32，则 cosB+tanB=_题四：在 Rt ABC中， C=90， A=30，则 tanA+tanB=_- 2 -第 67讲 正弦、余弦、正切定义题一：见详解详解：(1) C=90， AC=12， AB=13， BC= 2213ABC=5，sin A= 513B；cos A= 123B；tan A= 51；sinB= 2；cos B= 5；tan B= 2(2)由图可知， C=90， AC=6， AB=10， BC

3、8，sin A= 45；cos A= 35；tan A= 43C；sinB= 3；cos B= 4；tan B= 题二：见详解详解：(1)如图， C=90， AC=1， BC= 3， AB= 221(3)ACB，sin A= 32B；cos A= 12B；tan A= B；sinB= 1；cos B= 3；tan B= 3(2)在 Rt ABC中， C=90， AC=2， CD=1， AD= 2215DA,sin = 5；cos = 25AD；tan = 12CDA；sin(90 )= 25AC；cos(90 )= 5；tan(90 )= 2ACD题三： 123详解：在 Rt ABC中， C=90，sin B= 32，- 3 - B=60，cos B+tanB= 123题四： 43详解：在 Rt ABC中， C=90， A=30，则 B=9030=60，tan A+tanB=tan30+tan60= 344

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