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CMAT 2018 Solved Question Paper
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© examsnet.com
Question : 24
Total: 100
If tan A + cot A =
√
5
, what is the value of
t
a
n
3
A
+
c
o
t
3
A
?
3
2
√
5
√
5
2
√
5
Validate
Solution:
tan A +
1
tan
A
=
√
5
⇒
t
a
n
3
A
+
c
o
t
3
A
can be written as
t
a
n
3
A
+
1
t
a
n
3
A
⇒
t
a
n
3
A
+
1
t
a
n
3
A
=
(
tan
A
+
1
tan
A
)
3
- 3
(
t
a
n
A
+
1
tan
A
)
(
t
a
n
A
×
1
tan
A
)
=
(
√
5
)
3
−
3
√
5
=
5
√
5
−
3
√
5
∴
t
a
n
3
A
+
1
t
a
n
3
A
=
2
√
5
© examsnet.com
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