Prove the following identities:

Question 1: **[2007]**

Answer:

LHS

RHS. Hence Proved.

Question 2:

Answer:

RHS

LHS. Hence Proved.

Question 3:

Answer:

LHS

RHS. Hence proved.

Question 4:

Answer:

LHS

RHS. Hence Proved.

Question 5:

Answer:

LHS

RHS. Hence proved.

Question 6: **[2005]**

Answer:

LHS

RHS. Hence Proved.

Question 7:

Answer:

LHS

RHS. Hence Proved.

Question 8:

Answer:

LHS

RHS. Hence Proved.

Question 9:

Answer:

LHS

RHS

Question 10:

Answer:

LHS

Hence proved.

Question 11:

Answer:

LHS

RHS. Hence proved.

Question 12:

Answer:

LHS

RHS. Hence proved.

Question 13:

Answer:

LHS

RHS. Hence proved.

Question 14:

Answer:

LHS

RHS. Hence Proved.

Question 15:

Answer:

LHS

RHS. Hence Proved.

Question 16:

Answer:

LHS

RHS. Hence proved.

Question 17:

Answer:

LHS

RHS. Hence proved.

Question 18:

Answer:

LHS

RHS

Question 19:

Answer:

LHS

RHS

Therefore LHS = RHS. Hence proved.

Question 20:

Answer:

LHS

Question 21:

Answer:

LHS

RHS. Hence proved.

Question 22:

Answer:

LHS

RHS. Hence proved.

Question 23:

Answer:

LHS

RHS. Hence proved.

Question 24:

Answer:

LHS

RHS. Hence proved.