Exercise 3.3
Prove that:
1. 
Ans. 1. L.H.S. = 
= 
= 
R.H.S.
2. 
Ans. L.H.S. = 
= 
= 
= 
= 
3. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
4. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
5. Find the value of:
(i) 
(ii) 
Ans. (i) 
= 
(ii) 
= 
= 
Prove the following:
6. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
7. 
Ans. L.H.S. = 
[Using 
]
= 
= 
= 
= R.H.S.
8. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
9. 
Ans. L.H.S. = 
= 
= 
= 
= 1 = R.H.S.
10. 
Ans. L.H.S. = 
= 
= 
= 
= R.H.S.
11. 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= R.H.S.
12. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
13. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
14. 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= 
= 
= R.H.S.
15. 
Ans. L.H.S. = 
= 
= 
= 
R.H.S. = 
= 
= 
=
L.H.S. = R.H.S.
16. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
17. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
18. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
19. 
Ans. L.H.S. = 
= 
= 
= R.H.S.
20. 
Ans. L.H.S. = 
= 
= 
= 
= R.H.S.
21. 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= R.H.S.
22. 
Ans. We know that 
23. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
24. 
Ans. L.H.S. = 
= 
= 
= 
= R.H.S.
25. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
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