(
3
−
1
)
sin
2
x
+
(
3
+
1
)
sin
x
cos
x
+
1
=
0
(
3
−
1
)
sin
2
x
+
(
3
+
1
)
sin
x
cos
x
+
cos
2
x
+
sin
2
x
=
0
3
sin
2
x
+
(
3
+
1
)
sin
x
cos
x
+
cos
2
x
=
0
3
tan
2
x
+
(
3
+
1
)
tan
x
+
1
=
0
→
tan
x
12
=
−
(
3
+
1
)
±
(
3
+
1
)
2
−
4
3
2
3
=
−
(
3
+
1
)
±
3
+
1
+
2
3
−
4
3
2
3
=
−
(
3
+
1
)
±
3
+
1
−
2
3
2
3
=
−
(
3
+
1
)
±
(
3
−
1
)
2
2
3
=
−
(
3
+
1
)
±
(
3
−
1
)
2
3
→
→
{
tan
x
1
=
−
3
−
1
+
3
−
1
2
3
=
−
3
3
→
x
1
=
−
π
6
+
k
π
tan
x
2
=
−
3
−
1
−
3
+
1
2
3
=
−
1
→
x
2
=
−
π
4
+
k
π
(sqrt 3 - 1) sin^2 x + ( sqrt 3 + 1 ) sin x cos x + 1 =0 newline newline
(sqrt 3 - 1) sin^2 x + ( sqrt 3 + 1 ) sin x cos x + cos^2 x + sin^2 x = 0 newline newline
sqrt 3 sin^2 x +( sqrt 3 + 1 ) sin x cos x + cos^2 x = 0 newline newline
sqrt 3 tan^2 x +( sqrt 3 + 1 ) tan x + 1=0 toward tan x_12 = {-(sqrt 3 +1) +- sqrt {(sqrt 3 +1)^2-4 sqrt 3}} over {2 sqrt 3} = {-(sqrt 3 +1) +- sqrt {3 +1 + 2 sqrt 3-4 sqrt 3}} over {2 sqrt 3} = {-(sqrt 3 +1) +- sqrt {3 +1 - 2 sqrt 3}} over {2 sqrt 3} = {-(sqrt 3 +1) +- sqrt {(sqrt 3 -1)^2}} over {2 sqrt 3} = {-(sqrt 3 +1) +- (sqrt 3 -1)} over {2 sqrt 3} toward "" newline newline
toward left lbrace stack{ tan x_1 = {-sqrt 3 -1 +sqrt 3 -1} over {2 sqrt 3} = -{sqrt 3 over 3} toward x_1 = -{%pi over 6} + k %pi #
tan x_2 = {-sqrt 3 -1 - sqrt 3 +1} over {2 sqrt 3}= - 1 toward x_2 = -{%pi over 4} + k %pi } right none