Statement-1: The numbers `sin18^(@)and-sin54^(@)` are the roots of the quadratic equation with integer coefficients. Statement-2: If `x=18^(@),cos3x=sin2x and If y=-54^(@), sin2y =cos 3y.`A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement -1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True.

Statement-1: The numbers `sin18^(@)and-sin54^(@)` are the roots of the

1.	Statement-1: The numbers `sin18^(@)and-sin54^(@)` are the roots of the quadratic equation with integer coefficients. Statement-2: If `x=18^(@),cos3x=sin2x and If y=-54^(@), sin2y =cos 3y.`A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement -1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True.
Answer» Correct Answer - A Clearly, statement-2 is true Using statement-2, we have `cos 3x=sin2x` `impliescos^(3)x-3cosx=2 sinxcosx` `implies4(1-sin^(2)x)-3=2sinx` `implies4sin^(2)x+2sinx-1=0` `impliessinx=sin18^(@)` is a root of a quadratic equation with integer coefficients. Similarly, ` sinty=cos3y` `impliessiny=sin(-54^(@))=-sin54^(@)` are the roots of a quadratic equation with integer coefficients.