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常见 三角函数 问题
2cos^2(x)=-3sin(x)cos(x)
2
cos
2
(
x
)
=
−
3
sin
(
x
)
cos
(
x
)
4cos^2(x)=sin^2(x)+3
4
cos
2
(
x
)
=
sin
2
(
x
)
+
3
2cos^2(x)-sin^2(x)-2sin(x)=0
2
cos
2
(
x
)
−
sin
2
(
x
)
−
2
sin
(
x
)
=
0
cos^2(x)+5cos(x)-2=0
cos
2
(
x
)
+
5
cos
(
x
)
−
2
=
0
cos(2x)+cos(2x)+1=0
cos
(
2
x
)
+
cos
(
2
x
)
+
1
=
0
(cos^2(x)+cos(x))*(sin(x)+sin^3(x))=0
(
cos
2
(
x
)
+
cos
(
x
)
)
·
(
sin
(
x
)
+
sin
3
(
x
)
)
=
0
arccos(x)-arcsin(x)=arcsin(1-x)
arccos
(
x
)
−
arcsin
(
x
)
=
arcsin
(
1
−
x
)
sin^2(x)=|sin(x)|
sin
2
(
x
)
=
|
sin
(
x
)
|
1-cos^2(x)-sin^{22}(x)=0
1
−
cos
2
(
x
)
−
sin
2
2
(
x
)
=
0
cos(x/4)sin(x/4)=sqrt(3)sin(x/4)cos(x/4)
cos
(
x
4
)
sin
(
x
4
)
=
√
3
sin
(
x
4
)
cos
(
x
4
)
5cos(x)=1+2sin^2(x)
5
cos
(
x
)
=
1
+
2
sin
2
(
x
)
tan(2x+1)=-cot(x+3)
tan
(
2
x
+
1
)
=
−
cot
(
x
+
3
)
(4sec^2(x))/2 =-8sec(x)
4
sec
2
(
x
)
2
=
−
8
sec
(
x
)
tan(x)+tan^3(x)=0
tan
(
x
)
+
tan
3
(
x
)
=
0
sin^3(x)-2sin(x)=4cos^2(x)-3
sin
3
(
x
)
−
2
sin
(
x
)
=
4
cos
2
(
x
)
−
3
cos^2(x)+6sin(x)-6=0
cos
2
(
x
)
+
6
sin
(
x
)
−
6
=
0
(1-sin(x))*cos^3(x)=0
(
1
−
sin
(
x
)
)
·
cos
3
(
x
)
=
0
-tan(x)=3.465
−
tan
(
x
)
=
3
.
4
6
5
3cos^2(x)-sin(x)+1=0
3
cos
2
(
x
)
−
sin
(
x
)
+
1
=
0
cos^2(x)+sin^2(x)+sin(x)= 1/2
cos
2
(
x
)
+
sin
2
(
x
)
+
sin
(
x
)
=
1
2
2sin(x)cos^2(x)-1+2cos^2(x)-sin(x)=0
2
sin
(
x
)
cos
2
(
x
)
−
1
+
2
cos
2
(
x
)
−
sin
(
x
)
=
0
tan^2(b)=3
tan
2
(
b
)
=
3
solvefor a,sin(a+b/2)=cos(c/2)
solvefor
a
,
sin
(
a
+
b
2
)
=
cos
(
c
2
)
tan(x)-cot(x)=2cot^2(x)
tan
(
x
)
−
cot
(
x
)
=
2
cot
2
(
x
)
cot((-x+3n)/4)=0
cot
(
−
x
+
3
n
4
)
=
0
sin(x)+sin^2(x)+sin^3(x)=1
sin
(
x
)
+
sin
2
(
x
)
+
sin
3
(
x
)
=
1
(cos(a))/(1+sin(a))=sec(a)
cos
(
a
)
1
+
sin
(
a
)
=
sec
(
a
)
cos^2(x)+sin^2(2x)=0
cos
2
(
x
)
+
sin
2
(
2
x
)
=
0
2cos^2(x)+3sin^2(x)=2
2
cos
2
(
x
)
+
3
sin
2
(
x
)
=
2
42-25cos(x)=31
4
2
−
2
5
cos
(
x
)
=
3
1
2sec^2(x)=5tan(x)
2
sec
2
(
x
)
=
5
tan
(
x
)
cos^2(2x)-3sin^2(x)-1=0
cos
2
(
2
x
)
−
3
sin
2
(
x
)
−
1
=
0
sin(-t)= 3/10
sin
(
−
t
)
=
3
1
0
cos^2(x)+sin^3(x)=0
cos
2
(
x
)
+
sin
3
(
x
)
=
0
solvefor c,e=r(sec(c/2)-1)
solvefor
c
,
e
=
r
(
sec
(
c
2
)
−
1
)
arctan(x/3)+arctan(x/2)=arctan(x)
arctan
(
x
3
)
+
arctan
(
x
2
)
=
arctan
(
x
)
solvefor w,y=arctan(1+4w)
solvefor
w
,
y
=
arctan
(
1
+
4
w
)
cos(8x)=1
cos
(
8
x
)
=
1
cos^4(a)=8cos^4(a)-8cos^2(a)+1
cos
4
(
a
)
=
8
cos
4
(
a
)
−
8
cos
2
(
a
)
+
1
sin^2(a)-4sin(a)+3=0
sin
2
(
a
)
−
4
sin
(
a
)
+
3
=
0
4sin^2(x)-4cos(x)-1=0
4
sin
2
(
x
)
−
4
cos
(
x
)
−
1
=
0
3cos^2(x)+2cos(x)-8=0
3
cos
2
(
x
)
+
2
cos
(
x
)
−
8
=
0
tan(a)+sec(a)= 3/2
tan
(
a
)
+
sec
(
a
)
=
3
2
3cos^2(x)+4cos^4(x)-5=0
3
cos
2
(
x
)
+
4
cos
4
(
x
)
−
5
=
0
cos(2x+3)=0
cos
(
2
x
+
3
)
=
0
3cos^2(x)-2sin(x)=3sin(x)-sin^2(x)
3
cos
2
(
x
)
−
2
sin
(
x
)
=
3
sin
(
x
)
−
sin
2
(
x
)
5tan(y)-1= 1/(5tan(y))
5
tan
(
y
)
−
1
=
1
5
tan
(
y
)
d^2+d=cos(x)
d
2
+
d
=
cos
(
x
)
sin(x)= 12/60
sin
(
x
)
=
1
2
6
0
sin(8x)= 1/2
sin
(
8
x
)
=
1
2
1+sin^2(x)+cos^4(x)=0
1
+
sin
2
(
x
)
+
cos
4
(
x
)
=
0
sqrt(7)*sin^2(x)+cos^2(x)-1=6sin(x)
√
7
·
sin
2
(
x
)
+
cos
2
(
x
)
−
1
=
6
sin
(
x
)
4sec^2(x)-3tan^2(x)=5tan^2(x)
4
sec
2
(
x
)
−
3
tan
2
(
x
)
=
5
tan
2
(
x
)
cos^3(x)=66
cos
3
(
x
)
=
6
6
2sqrt(3)*sin(4x+60^0)-3=0
2
√
3
·
sin
(
4
x
+
6
0
0
)
−
3
=
0
(sin(x)+sin^2(x))/2 =0.5
sin
(
x
)
+
sin
2
(
x
)
2
=
0
.
5
cos(b)= 3/5
cos
(
b
)
=
3
5
arctan(1-x)+arctan(1+x)=arctan(1/8)
arctan
(
1
−
x
)
+
arctan
(
1
+
x
)
=
arctan
(
1
8
)
5sin(4x)=2
5
sin
(
4
x
)
=
2
2cos^2(x)-sqrt(3)*sin^2(x)-2=0
2
cos
2
(
x
)
−
√
3
·
sin
2
(
x
)
−
2
=
0
solvefor x,log_{10}(y)=arctan(x)+c
solvefor
x
,
log
1
0
(
y
)
=
arctan
(
x
)
+
c
2sin(x)=((4sin(x)-cos(x)))/2
2
sin
(
x
)
=
(
4
sin
(
x
)
−
cos
(
x
)
)
2
cos(x+60)*cos(x-60)= 1/2
cos
(
x
+
6
0
)
·
cos
(
x
−
6
0
)
=
1
2
(cos(2x+9))/3 = 1/2
cos
(
2
x
+
9
)
3
=
1
2
sin^6(x)-cos^6(x)=0
sin
6
(
x
)
−
cos
6
(
x
)
=
0
-sin(2x)sin(x)+cos(2x)cos(x)=0
−
sin
(
2
x
)
sin
(
x
)
+
cos
(
2
x
)
cos
(
x
)
=
0
sin(2x)+cos(2x)-1=0
sin
(
2
x
)
+
cos
(
2
x
)
−
1
=
0
4tan(x)sin^2(x)+3=4sin^2(x)+3tan(x)
4
tan
(
x
)
sin
2
(
x
)
+
3
=
4
sin
2
(
x
)
+
3
tan
(
x
)
tan(a)=0.384
tan
(
a
)
=
0
.
3
8
4
cos(b)= 38/70
cos
(
b
)
=
3
8
7
0
cos(x)=1-sin^2(x/2)
cos
(
x
)
=
1
−
sin
2
(
x
2
)
3sin(x)-4sin^3(x)=1-2sin^2(x)
3
sin
(
x
)
−
4
sin
3
(
x
)
=
1
−
2
sin
2
(
x
)
sin^2(a)=((2tan(a)))/((1+tan^2(a)))
sin
2
(
a
)
=
(
2
tan
(
a
)
)
(
1
+
tan
2
(
a
)
)
(tan(a))/2 = 2/11
tan
(
a
)
2
=
2
1
1
sin^2(x)-cos(x)= 1/2
sin
2
(
x
)
−
cos
(
x
)
=
1
2
cos(x)[3sin(x)-2]=0
cos
(
x
)
[
3
sin
(
x
)
−
2
]
=
0
sin^3(x)+sin(x)-4=0
sin
3
(
x
)
+
sin
(
x
)
−
4
=
0
solvefor a,sin^2(a)+cos^2(b)=1
solvefor
a
,
sin
2
(
a
)
+
cos
2
(
b
)
=
1
sin^4(x)=-cos(x)
sin
4
(
x
)
=
−
cos
(
x
)
cos^3(x)=4cos^3(x)-3cos(x)
cos
3
(
x
)
=
4
cos
3
(
x
)
−
3
cos
(
x
)
4sin^4(x)+12cos^2(x)-7=0
4
sin
4
(
x
)
+
1
2
cos
2
(
x
)
−
7
=
0
5sin(a)=4
5
sin
(
a
)
=
4
2cos^4(x)+8sin^2(x)=5
2
cos
4
(
x
)
+
8
sin
2
(
x
)
=
5
cos^4(a)+cos^2(a)=1
cos
4
(
a
)
+
cos
2
(
a
)
=
1
1-cos(x)=2+cos(x)
1
−
cos
(
x
)
=
2
+
cos
(
x
)
(1+cos(4x))sin(4x)=2cos^2(2x)
(
1
+
cos
(
4
x
)
)
sin
(
4
x
)
=
2
cos
2
(
2
x
)
(5sin(x)+6)/(sin(x))=17
5
sin
(
x
)
+
6
sin
(
x
)
=
1
7
tan^2(x)sec(x)-1=0
tan
2
(
x
)
sec
(
x
)
−
1
=
0
sin^2(x)+cos^4(x)=2
sin
2
(
x
)
+
cos
4
(
x
)
=
2
(1+sin^2(x))=(4cos(x))^2
(
1
+
sin
2
(
x
)
)
=
(
4
cos
(
x
)
)
2
cos(x)=53
cos
(
x
)
=
5
3
sin^2(a)=(1-cos(a))/2
sin
2
(
a
)
=
1
−
cos
(
a
)
2
cos(x)=(-11)/(12)
cos
(
x
)
=
−
1
1
1
2
6sin^2(x)+5cos(x)-2=0
6
sin
2
(
x
)
+
5
cos
(
x
)
−
2
=
0
(sin^{22}(a))/(sin^2(a))=4-4sin^2(a)
sin
2
2
(
a
)
sin
2
(
a
)
=
4
−
4
sin
2
(
a
)
tan^3(x)=2
tan
3
(
x
)
=
2
sin^3(x)=3sin(x)
sin
3
(
x
)
=
3
sin
(
x
)
cos^4(x)+2sin^2(x)+6cos^2(x)+5=0
cos
4
(
x
)
+
2
sin
2
(
x
)
+
6
cos
2
(
x
)
+
5
=
0
1+sin(2a)=sin^2(a)
1
+
sin
(
2
a
)
=
sin
2
(
a
)
((cos^3(a)))/((2cos^2(a)-1))=cos(a)
(
cos
3
(
a
)
)
(
2
cos
2
(
a
)
−
1
)
=
cos
(
a
)
1
..
338
339
340
341
342
..
345
