[" General solution of "sin5x=cos2xis" of "],[" the from "a_(n)(pi)/(2)," when "n=0,+-1,+-2....],[" then "a_(n)=]

If the general solution of sin 5x = cos 2x is of the form a_(n),(pi)/(2)" or "n=0, pm 1, pm2,....," then "a_(n)=

If the general solution of sin5x=cos2x is of the form a_(n)*(pi)/(2) for n=0,+-1,+-2,... then a_(n)=

If the general solution of sin5x=cos2x is of the form a_n.pi/2 for n=0,+-1,+-2,.... then a_n=

Range of f(x)=cos{(pi)/(2)(a sin x+cos x)},a in N, is [-1,1], then a_(min) is ,a in N, is

If z=cos theta+i sin theta is a root of the equation a_(0)z^(n)+a_(2)z^(n-2)+...+a_(n-1)z+a_(n)=0, then prove that a_(0)+a_(1)cos theta+a_(2)cos2 theta+...+a_(n)cos n theta=0a_(1)sin theta+a_(2)sin2 theta+...+a_(n)sin n theta=0

The maximum value of (cos a_(1))*(cos a_(2))*...(cos a_(n)), under the restrictions 0<=a_(1),a_(2)...,a_(n)<=(pi)/(2) and (cot a_(1))*(cot a_(2))*... (cot a_(n))=1 is

If a_(n+1)=a_(n-1)+2a_(n) for n=2,3,4, . . . and a_(1)=1 and a_(2)=1 , then a_(5) =

The maximum value of (cos a_(1))*(cos a_(2))...(cos a_(n)), under the restriction,0<=a_(1),a_(2)............a_(n)<=(pi)/(2)(cot a_(1))*(cot a_(2)).........(cot a_(n))=1 is

If a_(0), a_(1), a_(2),… are the coefficients in the expansion of (1 + x + x^(2))^(n) in ascending powers of x, prove that a_(0) a_(2) - a_(1) a_(3) + a_(2) a_(4) - …+ a_(2n-2) a_(2n)= a_(n+1) .