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NDA Math Inverse Circular Functions
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© examsnet.com
Question : 3
Total: 25
What is
tan
{
2
tan
−
1
(
1
3
)
}
equal to ?
[NDA II 2019]
2
3
3
4
3
8
1
9
Validate
Solution:
tan
{
2
tan
−
1
(
1
3
)
}
[
2
tan
−
1
x
=
tan
−
1
2
x
1
−
x
2
]
Here
2
tan
−
1
1
3
=
tan
−
1
[
2
⋅
1
3
1
−
(
1
3
)
2
]
=
tan
−
1
(
2
3
1
−
1
9
)
=
tan
−
1
(
2
3
9
−
1
9
)
=
tan
−
1
(
2
3
×
9
8
)
=
tan
−
1
(
3
4
)
∴
tan
{
2
tan
−
1
(
1
3
)
}
=
tan
{
tan
−
1
(
3
4
)
}
[
tan
(
tan
–
1
θ
)
=
θ
]
=
3
4
© examsnet.com
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