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Question
Mathematics
The value of tan (2 tan -1((3/5))+ sin -1((5/13))) is equal to :
Q. The value of
tan
(
2
tan
−
1
(
5
3
)
+
sin
−
1
(
13
5
)
)
is equal to :
636
173
JEE Main
JEE Main 2021
Inverse Trigonometric Functions
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A
69
−
181
4%
B
21
220
76%
C
76
−
291
10%
D
63
151
10%
Solution:
tan
−
1
5
3
+
tan
−
1
5
3
+
tan
−
1
12
5
tan
−
1
1
−
25
9
5
6
=
tan
−
1
8
15
+
tan
−
1
12
5
tan
−
1
1
−
8
15
⋅
12
5
8
15
+
12
5
=
tan
−
1
21
220
tan
(
tan
−
1
21
220
)
=
21
220