Inverse Trigonometric Functions Worksheet - Class Xii - Abdurahiman K., Al-Hejaz International School, Jeddah Page 3

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Worksheet : Class XII
Inverse Trigonometric Functions
2
1
x
1
1
cos
tan
sin
cot
x
.
Prove:
2
2
x
Set 2
1
12.
Write the principal value of
cot
. 3
[ 1 ]
1
1
1
1
1
1
1
1
13.
Prove:
tan
tan
tan
tan
.
[ 4 ]
3
5
7
8
4
OR
x
1
x
1
1
1
x
Solve for
:
tan
tan
.
x
2
x
2
4
Set 3
4
1
14.
Find the value of
sin
.
[ 1 ]
5
March 2010 Foreign - Set 1
1
sin
x
.
15.
What is the domain of the function
[ 1 ]
1
a
1
a
2
b
1
1
16.
Prove:
tan
cos
tan
cos
.
[ 4 ]
4
2
b
4
2
b
a
SAY 2011
3
1
17.
Using principal value, write the value of
sin
.
[ 1 ]
2
1
2
1
4
1
1
1
18.
Prove that
tan
tan
tan
.
[ 4 ]
4
9
2
3
OR
1
1
Solve for
x
:
cos
2
sin
x
,
x
. 0
9

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