- 倒三角关系
s
i
n
2
(
x
)
+
c
o
s
2
(
x
)
=
1
sin^{2}(x) + cos^{2}(x) = 1
sin2(x)+cos2(x)=1
t
a
n
2
(
x
)
+
1
=
s
e
c
2
(
x
)
tan^{2}(x) + 1 = sec^{2}(x)
tan2(x)+1=sec2(x)
1
+
c
o
t
2
(
x
)
=
c
s
c
2
(
x
)
1 + cot^{2}(x) = csc^{2}(x)
1+cot2(x)=csc2(x)
2、对角线关系
c
s
c
(
x
)
=
1
s
i
n
(
x
)
csc(x) = \frac{1}{sin(x)}
csc(x)=sin(x)1
s
e
c
(
x
)
=
1
c
o
s
(
x
)
sec(x) = \frac{1}{cos(x)}
sec(x)=cos(x)1
t
a
n
(
x
)
=
1
c
o
t
(
x
)
tan(x) = \frac{1}{cot(x)}
tan(x)=cot(x)1
3、顺时针关系
t
a
n
(
x
)
=
s
i
n
(
x
)
c
o
s
(
x
)
tan(x) = \frac{sin(x)}{cos(x)}
tan(x)=cos(x)sin(x)
s
i
n
(
x
)
=
c
o
s
(
x
)
c
o
t
(
x
)
sin(x) = \frac{cos(x)}{cot(x)}
sin(x)=cot(x)cos(x)
c
o
s
(
x
)
=
c
o
t
(
x
)
c
s
c
(
x
)
cos(x) = \frac{cot(x)}{csc(x)}
cos(x)=csc(x)cot(x)
c
o
t
(
x
)
=
c
s
c
(
x
)
s
e
c
(
x
)
cot(x) = \frac{csc(x)}{sec(x)}
cot(x)=sec(x)csc(x)
c
s
c
(
x
)
=
s
e
c
(
x
)
t
a
n
(
x
)
csc(x) = \frac{sec(x)}{tan(x)}
csc(x)=tan(x)sec(x)
s
e
c
(
x
)
=
t
a
n
(
x
)
s
i
n
(
x
)
sec(x) = \frac{tan(x)}{sin(x)}
sec(x)=sin(x)tan(x)
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