Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Mathematics
The value of tan -1[2 sin (2 cos -1 (√3/2))] is
Q. The value of
tan
−
1
[
2
sin
(
2
cos
−
1
2
3
)
]
is
351
155
Inverse Trigonometric Functions
Report Error
A
3
π
40%
B
3
2
π
23%
C
3
−
π
20%
D
6
π
17%
Solution:
Given,
tan
−
1
[
2
sin
(
2
cos
−
1
(
2
3
)
)
]
=
tan
−
1
[
2
sin
(
2
×
6
π
)
]
=
tan
−
1
[
2
sin
(
3
π
)
]
=
tan
−
1
[
2
×
2
3
]
=
tan
−
1
3
=
3
π