Relations and Functions Test-6 Class 12 Notes | EduRev

Class 12 : Relations and Functions Test-6 Class 12 Notes | EduRev

 Page 1


CBSE TEST PAPER-06 
CLASS - XII MATHEMATICS (Relations & Functions) 
Topic:-Inverse Trigonometric Functions 
1. Find the principal value of sin
-1
 
1
2
? ?
? ?
? ?
[1]
2. Find the value of sin
-1
 
3
sin
5
p ? ?
? ?
? ?
 [1]
3. Find the value of 
1 1
tan 3 co ( 3) t
- - - - [1]
4. Find the value of sin
( )
1 1
sin cos a a
- - +
[1]
5. tan
-1
1
tan
x x y
y x y
- ? ? ? ? - - ? ? ? ?
+
? ? ? ?
[1]
6. Find the value of
1 1 1
1 1
tan (1) cos sin
2 2
- - - ? ? ? ?
+ - + - ? ? ? ?
? ? ? ?
 [4]
7. Show that 
1 1 1
3 8 84
sin sin cos
5 17 85
- - - - =
[4]
8. Prove that
1 1 1 1
1 1 1 1
tan tan tan tan
5 7 3 8 4
p
- - - - + + + =
[4]
9. Prove that
3
1 1 1
2 2
2 3
tan tan tan
1 1 3
x x x
x
x x
- - - ? ? - + =
? ?
- - ? ?
[4]
10. Simplify 
1 1
sin cos 3 4
sin cos cos sin
5 5 2
x x
or x x
- - + ? ? ? ?
+
? ? ? ?
? ? ? ?
[4]
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