Prove that:

Question 1:

Answer:

LHS

RHS. Hence proved.

Question 2:

Answer:

Taking

… … … … … i)

Taking

… … … … … ii)

Adding ( i ) and ( ii ) Equation.

[as we know that ]

Question 3:

Answer:

LHS

Question 4:

Answer:

LHS

RHS. Hence proved.

Question 5:

Answer:

LHS

RHS. Hence proved.

Since

Question 6:

Answer:

LHS

RHS. Hence proved.

Question 7:

Answer:

LHS

RHS. Hence proved.

Question 8:

Answer:

RHS. Hence proved.

Question 9:

Answer:

LHS

RHS. Hence proved.

Question 10: for all values of

Answer:

LHS

Since

Hence proven.

Question 11: for all values of

Answer:

LHS

Since

Hence proven.