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Byju's Answer
Standard XI
Mathematics
Trigonometric Functions
The value of ...
Question
The value of cos(2cos
–1
x
+ sin
–1
x
) at
x
=
√
3
2
is
x
=
√
3
2
पर cos(2cos
–1
x
+ sin
–1
x
) का मान है
A
1
2
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B
−
1
2
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C
Zero
शून्य
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D
1
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Solution
The correct option is
B
−
1
2
Solutions
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Similar questions
Q.
Evaluate:
cos
(
2
cos
−
1
x
+
sin
−
1
x
)
at
x
=
1
5
.
Q.
Inverse circular functions,Principal values of
s
i
n
−
1
x
,
c
o
s
−
1
x
,
t
a
n
−
1
x
.
t
a
n
−
1
x
+
t
a
n
−
1
y
=
t
a
n
−
1
x
+
y
1
−
x
y
,
x
y
<
1
π
+
t
a
n
−
1
x
+
y
1
−
x
y
,
x
y
>
1
.
Evaluate
(a)
c
o
s
−
1
x
+
c
o
s
−
1
[
x
2
+
√
(
3
−
3
x
2
)
2
]
(
1
2
≤
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≤
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)
(b)
c
o
s
(
2
c
o
s
−
1
x
+
s
i
n
−
1
x
)
at
x
=
1
/
5
,
where
0
≤
c
o
s
−
1
x
≤
π
and
−
π
/
2
≤
s
i
n
−
1
x
≤
π
/
2
Q.
The maximum value of sin
–1
x
+ tan
–1
x
is
sin
–1
x
+ tan
–1
x
का अधिकतम मान है
Q.
sin(cot
–1
x
) is equal to, where
x
∈ [0, ∞)
sin(cot
–1
x
) का मान है, जहाँ
x
∈ [0, ∞)
Q.
Number of value(s) of
x
satisfying sin
–1
x
+ cos
–1
x
+ sec
–1
x
+ cosec
–1
x
= π is
sin
–1
x
+ cos
–1
x
+ sec
–1
x
+ cosec
–1
x
= π को संतुष्ट करने वाले
x
के मान/मानों की संख्या है/हैं
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