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Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
The value of ...
Question
The value of
tan
π
8
is equal to
A
1
2
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B
√
2
−
1
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C
1
√
2
+
1
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D
1
−
√
2
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Solution
The correct option is
A
√
2
−
1
tan
(
π
8
)
=
tan
(
180
8
)
tan
(
45
2
)
tan
A
2
=
1
−
cos
A
sin
A
S
o
,
N
o
w
tan
45
2
=
1
−
cos
45
sin
45
=
1
−
1
√
2
1
√
2
=
(
√
2
−
1
)
√
2
1
√
2
tan
(
π
8
)
=
√
2
−
1
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