求三角函數－新聞雲

標題:

求三角函數

發問:

請解答下列各三角函數：正切(ctg)360度正割(sec)30度、45度、60度、90度、360度余割(csc)30度、45度、60度、90度、360度

最佳解答:

ctg 360度=1/tan 360度 =1/(tan 0度) =1/0 which is undefined (未被定義) sec 30度 =1/cos 30度 =1/(開方3/2) =2/開方3 sec 45度 =1/cos 45度 =1/(開方2/2) =開方2 sec 60度 =1/(cos 60度) =1/(1/2) =2 sec 90度 =1/cos 90度 =1/0 which is undefined (未被定義) sec 360度 =1/cos 0度 =1/1 =1 csc 30度 =1/(sin 30度) =1/(1/2) =2 csc 45度 =1/(sin 45度) =1/(開方2/2) =開方2 csc 60度 =1/(sin 60度) =1/(開方3/2) =2/開方3 csc 90度 =1/sin 90度 =1/1 =1 csc 360度 =1/sin 0度 =1/0 which is undefined (未被定義)

其他解答:

首先, ctg(x)=[tan(x)]-1 sec(x)=[cos(x)]-1 csc(x)=[sin(x)]-1 so... when tan360=0 ctg(360)->infinite cos30=0.866 sec30=1.1547 cos45=0.7071 sec45=1.4142 cos60=0.5 sec60=2 cos90=0 sec90->infinite cos360=1 sec360=1 sin30=0.5 csc30=2 sin45=0.7071 csc45=1.4142 sin60=0.866 csc60=1.1547 sin90=1 csc90=1 sin360=0 csc360->infinite|||||首先, ctg(x)=[tan(x)]-1 sec(x)=[cos(x)]-1 csc(x)=[sin(x)]-1 so... when -------------------------- tan360=0 ctg(360)->infinite -------------------------- cos30=0.866 sec30=1.1547 -------------------------- cos45=0.7071 sec45=1.4142 -------------------------- cos60=0.5 sec60=2 -------------------------- cos90=0 sec90->infinite -------------------------- cos360=1 sec360=1 -------------------------- sin30=0.5 csc30=2 -------------------------- sin45=0.7071 csc45=1.4142 -------------------------- sin60=0.866 csc60=1.1547 -------------------------- sin90=1 csc90=1 -------------------------- sin360=0 csc360->infinite