求三角函數

2007-02-14 4:53 am
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

回答 (3)

2007-02-14 5:12 am
✔ 最佳答案
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)
2007-02-14 5:05 am
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
2007-02-14 5:02 am
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
參考: 計數機-v-


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