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Install Now**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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