More about Trigonometry

2012-04-18 1:01 am
Given that tanθ=-15/112,find sinθ and cosθ

θ lies on quadrant II and IV

Let P(x,y) be a point on the terminal side of θ and OP =r

Let y=-15 and x=112

r^2=12769

r=113 or -113

(why -113 does not need to rejected?)

r must be positive?

回答 (2)

2012-04-18 2:30 am
✔ 最佳答案
tanθ=x/y=-15/112--> r=√(x^2+y^2)=113

sinθ=112/113, cosθ=-15/113~第二象限

sinθ=-112/113, cosθ=15/113~第三象限

r 必須是正的

2012-04-17 20:44:14 補充:
有誤 修正如下

tanθ=x/y=-15/112--> r=√(x^2+y^2)=113

sinθ=15/113, cosθ=-112/113~第二象限

sinθ=-15/113, cosθ=112/113~第三象限

r 必須是正的
2012-04-18 1:43 am
問題錯?
radius只會是正數


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