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Recent questions in Inverse Trigonometric Functions
Questions
>>
CBSE XII
>>
Math
>>
Inverse Trigonometric Functions
Find the value of
t
a
n
1
2
[
s
i
n
−
1
2
x
1
+
x
2
+
c
o
s
−
1
1
−
y
2
1
+
y
2
]
,
|
x
|
<
1
,
y
>
0
a
n
d
x
y
<
1
cbse
class12
bookproblem
ch2
sec2
q13
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of
x
if
s
i
n
(
s
i
n
−
1
1
5
+
c
o
s
−
1
x
)
=
1
.
cbse
class12
bookproblem
ch2
sec2
q14
p48
easy
veryshort
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
If
tan
−
1
x
−
1
x
−
2
+
tan
−
1
x
+
1
x
+
2
=
π
4
then find the value of
x
cbse
class12
bookproblem
ch2
sec2
q15
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of
s
i
n
−
1
(
s
i
n
2
π
3
)
cbse
class12
bookproblem
ch2
sec2
q16
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression in
t
a
n
−
1
(
t
a
n
3
π
4
)
cbse
class12
bookproblem
ch2
sec2
q17
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of the expression
tan
(
sin
−
1
3
5
+
cot
−
1
3
2
)
cbse
class12
bookproblem
ch2
sec2
q18
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression
cos
−
1
(
cos
7
π
6
)
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of each of the expressions in
sin
(
π
3
−
sin
−
1
(
−
1
2
)
)
is equal to
cbse
class12
bookproblem
ch2
sec2
q20
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of
tan
−
1
√
3
−
cot
−
1
(
−
√
3
)
cbse
class12
bookproblem
ch2
sec2
q21
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of:
cos
−
1
(
cos
13
π
6
)
cbse
class12
bookproblem
ch2
misc
q1
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the following:<br>
t
a
n
−
1
(
t
a
n
7
π
6
)
cbse
class12
bookproblem
ch2
misc
q2
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
What does
2
sin
−
1
3
5
reduce to
cbse
class12
bookproblem
ch2
misc
q3
p51
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Prove the following
3
sin
−
1
x
=
sin
−
1
(
3
x
−
4
x
3
)
x
∈
[
−
1
2
,
1
2
]
cbse
class12
bookproblem
ch2
sec2
q1
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following
3
cos
−
1
x
=
cos
−
1
(
4
x
3
−
3
x
)
,
x
∈
[
1
2
,
1
]
cbse
class12
bookproblem
ch2
sec2
q2
p47
veryshort
easy
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following
tan
−
1
2
11
+
tan
−
1
7
24
=
tan
−
1
1
2
cbse
class12
bookproblem
ch2
sec2
q3
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove that
s
i
n
−
1
8
17
+
s
i
n
−
1
3
5
=
t
a
n
−
1
77
36
cbse
class12
bookproblem
ch2
misc
q4
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
c
o
s
−
1
4
5
+
c
o
s
−
1
12
13
=
c
o
s
−
1
33
65
cbse
class12
bookproblem
ch2
misc
q5
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
c
o
s
−
1
12
13
+
s
i
n
−
1
3
5
=
s
i
n
−
1
56
65
cbse
class12
bookproblem
ch2
misc
q6
p51
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
What does
sin
−
1
5
13
+
cos
−
1
3
5
reduce to?
cbse
class12
ch2
q7
medium
additionalproblem
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
t
a
n
−
1
1
5
+
t
a
n
−
1
1
7
+
t
a
n
−
1
1
3
+
t
a
n
−
1
1
8
=
π
4
cbse
class12
bookproblem
ch2
misc
q8
p51
sec-c
medium
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
t
a
n
−
1
√
x
=
1
2
c
o
s
−
1
(
1
−
x
1
+
x
)
,
x
∈
[
0
,
1
]
cbse
class12
bookproblem
ch2
misc
q9
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
prove that
t
a
n
−
1
(
√
1
+
x
−
√
1
−
x
√
1
+
x
+
√
1
−
x
)
=
π
4
−
1
2
c
o
s
−
1
x
,
−
1
√
2
≤
x
≤
1
cbse
class12
bookproblem
ch2
misc
q11
p52
sec-b
medium
modelpaper
2012
q12
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
c
o
t
−
1
(
√
1
+
s
i
n
x
+
√
1
−
s
i
n
x
√
1
+
s
i
n
x
−
√
1
−
s
i
n
x
)
=
x
2
,
x
∈
(
0
,
π
4
)
cbse
class12
bookproblem
ch2
misc
q10
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Prove that
9
π
8
−
9
4
s
i
n
−
1
1
3
=
9
4
s
i
n
−
1
2
√
2
3
cbse
class12
bookproblem
ch2
misc
q12
p52
difficult
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Solve the following
2
t
a
n
−
1
(
c
o
s
x
)
=
t
a
n
−
1
(
2
c
o
s
e
c
x
)
cbse
class12
bookproblem
ch2
misc
q13
p52
medium
sec-b
math
asked
Nov 29, 2012
by
vaishali.a
1
answer
Solve the following
t
a
n
−
1
1
−
x
1
+
x
=
1
2
t
a
n
−
1
x
,
(
x
>
0
)
cbse
class12
bookproblem
ch2
misc
q14
p52
sec-b
medium
math
asked
Nov 29, 2012
by
vaishali.a
2
answers
Choose the correct answer
sin
(
tan
−
1
x
)
,
|
x
|
<
1
is equal to
cbse
class12
bookproblem
ch2
misc
q15
p52
sec-a
easy
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Choose the correct answer. If
sin
−
1
(
1
−
x
)
−
2
sin
−
1
x
=
π
2
,
then
x
is equal to
cbse
class12
bookproblem
ch2
misc
q16
p52
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
What is the value of:
t
a
n
−
1
(
x
y
)
−
t
a
n
−
1
x
−
y
x
+
y
cbse
class12
bookproblem
ch2
misc
q17
p52
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Solve the following
tan
−
1
√
3
−
s
e
c
−
1
(
−
2
)
:
cbse
class12
bookproblem
ch2
sec1
q14
p42
medium
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
If
sin
−
1
x
=
y
then:
cbse
class12
bookproblem
ch2
sec1
q13
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Find the value of the following:
c
o
s
−
1
1
2
+
2
s
i
n
−
1
1
2
cbse
class12
bookproblem
ch2
sec1
q12
p42
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the value of the following:
t
a
n
−
1
(
1
)
+
c
o
s
−
1
−
1
2
+
s
i
n
−
1
−
1
2
cbse
class12
bookproblem
ch2
sec1
q11
p42
easy
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br>
c
o
s
e
c
−
1
(
−
√
2
)
cbse
class12
bookproblem
ch2
sec1
q10
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal value of the following:
c
o
s
−
1
(
−
1
√
2
)
cbse
class12
bookproblem
ch2
sec1
q9
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following :
cot
−
1
(
√
3
)
cbse
class12
bookproblem
ch2
sec1
q8
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following:
s
e
c
−
1
(
2
√
3
)
cbse
class12
bookproblem
ch2
sec1
q7
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following:
t
a
n
−
1
(
−
1
)
cbse
class12
bookproblem
ch2
sec1
q6
p41
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following:
c
o
s
−
1
(
−
1
2
)
cbse
class12
bookproblem
ch2
sec1
q5
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br>
t
a
n
−
1
(
−
√
3
)
cbse
class12
bookproblem
ch2
sec1
q4
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following:
c
o
s
e
c
−
1
(
2
)
cbse
class12
bookproblem
ch2
sec1
q3
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Find the principal values of the following: <br>
c
o
s
−
1
(
√
3
2
)
cbse
class12
bookproblem
ch2
sec1
q2
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br>
s
i
n
−
1
(
−
1
2
)
cbse
class12
bookproblem
ch2
sec1
q1
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
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