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Question
Mathematics
The value of tan 6 20°-33 tan 4 20°+27 tan 2 20° is :
Q. The value of
tan
6
2
0
∘
−
33
tan
4
2
0
∘
+
27
tan
2
2
0
∘
is :
3427
230
Trigonometric Functions
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A
2
9%
B
3
39%
C
4
15%
D
5
36%
Solution:
3
=
tan
6
0
∘
=
tan
(
3
×
2
0
∘
)
=
1
−
3
t
a
n
2
2
0
∘
3
t
a
n
2
0
∘
−
t
a
n
3
2
0
∘
Squaring,
3
=
1
+
9
t
4
−
6
t
2
9
t
2
+
t
6
−
6
t
4
,
tan
2
0
∘
=
t
⇒
t
6
−
33
t
4
+
27
t
2
=
3
⇒
tan
6
2
0
∘
−
33
tan
4
2
0
∘
+
27
tan
2
2
0
∘
=
3