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.

Question 25:

Answer:

LHS

RHS. Hence proved.

Question 26:

Answer:

LHS

RHS. Hence proved.

Question 27:

Answer:

RHS

LHS. Hence proved.

Question 28:

Answer:

RHS

LHS. Hence proved.

Question 29:

Answer:

LHS

RHS. Hence proved.

Question 30:

Answer:

RHS

LHS. Hence proved.

Question 31:

Answer:

RHS

LHS. Hence proved.

Question 32:

Answer:

LHS

Question 33:

Answer:

LHS

RHS. Hence proved.

Question 34:

Answer:

LHS

RHS. Hence proved.

Question 35: ** [2008]**

Answer:

RHS

LHS. Hence proved.

Question 36:

Answer:

RHS

LHS. Hence proved.

Question 37:

Answer:

LHS

Question 38:

Answer:

LHS

RHS. Hence proved.

Question 39:

Answer:

LHS

RHS. Hence proved.

Question 40: ** [2000]**

Answer:

LHS

RHS. Hence proved.

Question 41: **[2013]**

Answer:

LHS

= RHS. Hence proved.

Question 42:

Answer:

LHS

= RHS. Hence proved.

Question 43: **[2001]**

Answer:

LHS

RHS. Hence proved.

Question 44: **[2002]**

Answer:

LHS

= RHS. Hence proved.

Question 45:

Answer:

LHS

= RHS. Hence proved.

Question 46:

Answer:

LHS

= RHS. Hence proved.

Question 47: **[2006]**

Answer:

LHS

= RHS. Hence proved.

Question 48:

Answer:

LHS

= RHS. Hence proved.