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We need to prove- taking LHS; Taking RHS; We know that identity  LHS = RHS  Hence proved.
(i) False, Let A = B = Then,    (ii) True, Take  whent   = 0 then zero(0),   = 30 then value of  is 1/2 = 0.5  = 45 then value of  is 0.707   (iii) False,   (iv) False, Let  = 0    (v) True,   (not defined)
Given that, So, ..........(i) therefore, .......(ii) By solving the equation (i) and (ii) we get; and
We need to prove, Taking LHS; Taking RHS; LHS = RHS Hence proved.
Put the value of The correct option is (C)
We need to prove- Taking LHS; Taking RHS; LHS = RHS Hence proved.
The correct option is (A) We know that  So,
Given equation, ..................(i) Taking LHS; [since ] Hence proved
The correct option is (D) We know that  So,
Put the value of tan 30 in the given question- The correct option is (A)
We need to prove - Taking LHS; [we know the identity ] Hence proved.
We need to prove - Taking LHS; By rationalising the denominator, we get; Hence proved.
We need to prove - Dividing the numerator and denominator by , we get; Hence Proved.
We need to prove- Taking LHS; By using the identity a3 - b3 =(a - b) (a2 + b2+ab) Hence proved.
We need to prove- taking LHS;   = RHS Hence proved.
.....................(i) We know the values of- By substituting all these values in equation(i), we get;
We need to prove- Now, taking LHS,                                                                        LHS = RHS Hence proved.
..................(i) It is known that the values of the given trigonometric functions, Put all these values in equation (i), we get;
we know the value of   ,  and , After putting these values
We know the value of   and   According to question,
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