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Byju's Answer
Standard XII
Mathematics
Properties Derived from Trigonometric Identities
If cos -1 x >...
Question
If
c
o
s
−
1
x
>
s
i
n
−
1
x then
A
x<0
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B
-1<x<0
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C
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D
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Solution
The correct option is
D
For,
c
o
s
−
1
x
,
s
i
n
−
1
x
to be real,
−
1
≤
x
≤
1
)
But
c
o
s
−
1
x
>
s
i
n
−
1
x
⇒
c
o
s
(
c
o
s
−
1
)
<
c
o
s
π
4
o
r
x
<
1
√
2
The common values are
−
1
≤
x
<
1
√
2