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Byju's Answer
Standard XII
Mathematics
Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions
Show that2sin...
Question
Show that
2
sin
−
1
(
3
5
)
−
tan
−
1
(
17
31
)
=
π
4
Open in App
Solution
L.H.S.
=
2
sin
−
1
(
3
5
)
−
tan
−
1
(
17
31
)
=
sin
−
1
(
2
×
3
5
√
1
−
9
25
)
−
tan
−
1
(
17
31
)
=
sin
−
1
(
6
5
×
4
5
)
−
tan
−
1
(
17
31
)
=
sin
−
1
(
24
25
)
−
tan
−
1
(
17
31
)
=
tan
−
1
(
24
7
)
−
tan
−
1
(
17
31
)
=
tan
−
1
(
24
7
−
17
31
1
+
24
7
×
17
31
)
=
tan
−
1
(
744
−
119
217
+
408
)
=
tan
−
1
(
625
625
)
=
tan
−
1
(
1
)
=
π
4
=
R.H.S.
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Similar questions
Q.
Prove:
2
sin
−
1
3
5
−
tan
−
1
17
31
=
π
4
Q.
Solve the following for
x
:
s
i
n
−
1
(
1
−
x
)
−
2
s
i
n
−
1
x
=
π
2
OR
Show that:
2
s
i
n
−
1
(
3
5
)
−
t
a
n
−
1
(
17
31
)
=
π
4
Q.
Solve:
2
tan
−
1
3
4
−
tan
−
1
17
31
Q.
Prove
tan
−
1
3
4
+
tan
−
1
3
5
−
tan
−
1
8
19
=
π
4
.
Q.
Show that
sin
−
1
12
13
+
cos
−
1
4
5
+
tan
−
1
63
16
=
π
.
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Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions
Standard XII Mathematics
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