中30數學疑問

2008-05-26 7:35 pm
tanB = a 以a表示(sinB+cosB)2次方


HELP me

10分
更新1:

sec,cot,csc呢d係咩泥, 我唔識,,,只知sin,cos,tan

回答 (3)

2008-05-26 9:39 pm
如下圖述所示 :
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圖片參考:http://www.klimda.com/c3.gif


參考: me
2008-05-26 8:09 pm
sec,cot,csc呢d係咩泥,
我唔識,,,只知sin,cos,tan
2008-05-26 7:58 pm
1+tan^2 B=sec^2 B
1+a^2=1/cos^2 B
cosB=1/√(1+a^2)

1+cot^2 B= csc^2 B
1+(1/a^2)=1/sin^2 B
sin B =a/√(a^2+1)

then

(sinB+cosB)^2
=sin^2 B+2sinB cosB+cos^2B
=1+2[a/√(a^2+1)][1/√(1+a^2)]
=(1+a^2+2a)/(1+a^2)
=(1+a)^2+(1+a^2)//


2008-05-26 12:54:35 補充:
sec B=1/cos B
csc B=1/sin B
cot B=1/tan B

2008-05-29 11:35:23 補充:
=(1+a^2+2a)/(1+a^2)
=(1+a)^2/(1+a^2)//

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