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Byju's Answer
Standard XII
Mathematics
Basic Inverse Trigonometric Functions
The absolute ...
Question
The absolute value of the expression
tan
π
16
+
tan
5
π
16
+
tan
9
π
16
+
tan
13
π
16
is
Open in App
Solution
tan
π
16
+
tan
5
π
16
+
tan
9
π
16
+
tan
13
π
16
⟹
sin
π
16
cos
π
16
+
sin
9
π
16
cos
9
π
16
+
sin
5
π
16
cos
5
π
16
+
sin
13
π
16
c
o
s
13
π
16
w
e
k
n
o
w
t
h
a
t
s
i
n
(
A
+
B
)
=
s
i
n
A
c
o
s
B
+
c
o
s
A
s
i
n
B
A
n
d
2
c
o
s
A
c
o
s
B
=
c
o
s
(
A
+
B
)
+
c
o
s
(
A
−
B
)
S
o
w
e
g
e
t
⟹
s
i
n
π
16
c
o
s
9
π
16
+
s
i
n
9
π
16
c
o
s
π
16
c
o
s
π
16
c
o
s
9
π
16
+
s
i
n
5
π
16
c
o
s
13
π
16
+
s
i
n
13
π
16
c
o
s
5
π
16
c
o
s
5
π
16
c
o
s
13
π
16
⟹
2
s
i
n
10
π
16
c
o
s
10
π
16
+
c
o
s
π
2
+
2
s
i
n
18
π
16
c
o
s
18
π
16
+
c
o
s
π
2
⟹
2
s
i
n
5
π
8
c
o
s
5
π
8
+
2
s
i
n
9
π
8
c
o
s
9
π
8
⟹
2
s
i
n
14
π
8
c
o
s
5
π
8
c
o
s
9
π
8
⟹
4
s
i
n
7
π
4
c
o
s
7
π
4
+
c
o
s
π
2
⟹
4
t
a
n
7
π
4
=
−
4
S
o
t
h
e
a
b
s
o
l
u
t
e
v
a
l
u
e
i
s
4
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Similar questions
Q.
The absolute value of
tan
π
16
+
tan
5
π
16
+
tan
9
π
16
+
tan
13
π
16
is
Q.
The absolute value of
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16
+
tan
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16
+
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16
+
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is
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The value of
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