數學問題, find the value

2010-03-20 8:50 am
If (100x+10y+5)^o and (100y+10x+5)^o,where x>y>0.
are the solutions of tanθ=a. Find x, y, and a. where 0^o≤θ≤360^o

p.s. 45^o=45 degree
e.g. sin(30^o)=0.5
更新1:

0^o≤θ≤360^o

更新2:

≤ 是亂碼,指少於或等於

回答 (1)

2010-03-20 10:41 am
✔ 最佳答案
100x+10y+5= 180+ 100y+10x+5 (4>x>y >=1)
x+8=10+y or x=y+2
while 4>x>y>1, thus, (x,y)=(3, 1)

so, θ=315 or 135 degree, tan(θ)=a = -1


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