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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.
Good morning my friend is coming to get the chance that you can see it
I just love it
realy amazing
It is short mathot… Try it nd by heart
Help full
Question no. 15 have many mistakes. Please check it. I hope you will find it.
exilent
Really helpful.
Problem no 15 has many mistake
So cool
Thank uh for your support….it’s really easy and short methods given here¡!!!!
Thnq fr yur wonderful supprt