Inverse Trigonometric Functions Worksheet - Class Xii - Abdurahiman K., Al-Hejaz International School, Jeddah Page 2
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2
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4Worksheet : Class XII
Inverse Trigonometric Functions
March 2010 Delhi- Set 1
3
1
5.
What is the principal value of
[ 1 ]
sin
?
2
x
1
1
x
1
1
6.
Prove:
tan
x
cos
,
, 0
. 1
[ 4 ]
2
1
x
OR
12
3
56
1
1
1
cos
sin
sin
.
Prove:
13
5
65
Set 2
3
1
7.
What is the principal value of
cos
?
[ 1 ]
2
Set 3
1
1
1
1
8.
Find the principal value of
sin
cos
.
[ 1 ]
2
2
1
1
1
9.
Prove that:
[ 4 ]
tan
1
tan
(
) 2
tan
(
) 3
OR
.
x
1
x
1
1
1
If
tan
tan
,
find the value of
x
x
2
x
2
4
March 2010 All India- Set 1
1
sec
. 2
10.
Write the principal value of
[ 1 ]
3
2
x
3
x
x
1
1
1
tan
x
tan
tan
11.
[ 4 ]
2
2
1
x
1
3
x
OR
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