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Question
Mathematics
If 3 sin-1((2x/1+x2))-4 cos-1((1-x2/1+x2))+2 tan-1((2x/1-x2))=(π/3), then x is equal to
Q. If
3
sin
−
1
(
1
+
x
2
2
x
)
−
4
cos
−
1
(
1
+
x
2
1
−
x
2
)
+
2
t
a
n
−
1
(
1
−
x
2
2
x
)
=
3
π
, then
x
is equal to
2457
237
Inverse Trigonometric Functions
Report Error
A
3
1
40%
B
−
3
1
20%
C
3
40%
D
−
4
3
0%
Solution:
Put
x
=
t
an
θ
∴
3
s
i
n
−
1
1
+
t
a
n
2
θ
2
t
an
θ
−
4
⋅
co
s
−
1
1
+
t
a
n
2
θ
1
−
t
a
n
2
θ
+
2
t
a
n
−
1
1
−
t
a
n
2
θ
2
t
an
θ
=
3
π
⇒
3
s
i
n
−
1
(
s
in
2
θ
)
−
4
co
s
−
1
(
cos
2
θ
)
+
2
s
i
n
−
1
(
t
an
2
θ
)
=
3
π
⇒
3
(
2
θ
)
−
4
(
2
θ
)
+
2
(
2
θ
)
=
3
π
⇒
2
θ
=
3
π
⇒
θ
=
6
π
⇒
x
=
t
an
6
π
=
3
1