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Byju's Answer
Standard IX
Mathematics
Trigonometric Ratio(sin,cos,tan)
82. Prove tha...
Question
82. Prove that tan -1(1/4) = 1/3 cot-1(52/47)
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Similar questions
Q.
If
tan
x
+
cot
x
=
3
, then show that
tan
4
x
+
cot
4
x
=
47
.
Q.
Prove that
tan
2
(
sec
−
1
2
)
+
cot
2
(
c
o
s
e
c
−
1
3
)
=
11
.
Q.
Prove that, cot
7
1
2
∘
or tan
82
1
2
∘
=
(
√
3
+
√
2
)
(
√
2
+
1
)
or
√
2
+
√
3
+
√
4
+
√
6
Q.
Prove that:
tan
−
1
1
5
+
tan
−
1
1
7
+
tan
−
1
1
3
+
tan
−
1
1
8
=
π
4
Q.
prove that
t
a
n
−
1
(
1
3
)
+
t
a
n
−
1
(
1
5
)
+
t
a
n
−
1
(
1
7
)
+
t
a
n
−
1
(
1
8
)
=
π
4
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