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Manipal Entrance Test 2019 Math Paper
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© examsnet.com
Question : 8
Total: 70
If
sec
−
1
x
=
cosec
−
1
y
,
then
cos
−
1
1
x
+
cos
−
1
1
y
is equal to
π
π
4
−
π
2
π
2
Validate
Solution:
Given that,
sec
−
1
x
=
cosec
−
1
y
or
cos
−
1
(
1
x
)
=
sin
−
1
(
1
y
)
On adding
cos
−
1
(
1
y
)
on both sides, we get
cos
−
1
(
1
x
)
+
cos
−
1
(
1
y
)
=
sin
−
1
(
1
y
)
+
cos
−
1
(
1
y
)
⇒
cos
−
1
(
1
x
)
+
cos
−
1
(
1
y
)
=
π
2
[
∵
sin
−
1
θ
+
cos
−
1
θ
=
π
2
]
© examsnet.com
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