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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Multiples of an Angle
The value of ...
Question
The value of
tan
(
π
4
+
θ
)
×
tan
(
3
π
4
+
θ
)
A
1
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B
−
1
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C
2
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D
1
2
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Solution
The correct option is
C
−
1
t
a
n
(
π
4
+
θ
)
∗
t
a
n
(
3
π
4
+
θ
)
=
t
a
n
(
π
4
+
θ
)
∗
c
o
t
(
π
2
−
(
3
π
4
+
θ
)
)
=
t
a
n
(
π
4
+
θ
)
∗
c
o
t
(
−
π
4
−
θ
)
=
t
a
n
(
π
4
+
θ
)
∗
−
c
o
t
(
π
4
+
θ
)
=
−
t
a
n
(
π
4
+
θ
)
∗
c
o
t
(
π
4
+
θ
)
=
−
1
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Similar questions
Q.
If
tan
(
π
4
+
θ
)
+
tan
(
π
4
−
θ
)
=
3
, then the value of
tan
3
(
π
4
+
θ
)
+
tan
3
(
π
4
−
θ
)
is
Q.
If
tan
(
π
4
+
θ
)
×
tan
(
3
π
4
+
θ
)
=
m
. Find
−
m
Q.
tan
(
π
4
+
θ
2
)
=
√
(
1
+
sin
θ
1
−
sin
θ
)
=
tan
θ
+
sec
θ
Q.
Prove that
tan
(
π
4
+
θ
2
)
=
1
sec
θ
−
t
a
n
θ
Q.
Prove that
tan
(
π
/
4
+
θ
)
×
tan
(
π
/
4
−
θ
)
=
1
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