If `cos4x=a_0+a_1cos^2x+a^2cos^4x` is true for all values of `x in R ,` then the value of `5a_0+a_1+a_2` is_______

If cos4x=a_(0)+a_(1)cos^(2)x+a^(2)cos^(4)x is true for all values of x in R, then the value of 5a_(0)+a_(1)+a_(2) is

If cos 4 x = a_(0) + a_(1) cos ^(2) x + a_(2) cos ^(4) x is true for all values of x in R . Then the value of 5 a_(0) + a_(1) + a_(2) is _____

If cosx=a_0+a_1 x+a_2x^2+... then the value of a_2 is

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0 for all x in R , then

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0 for all x in R , then

If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then the value of sec^2x is_______

If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then the value of sec^2x is_______

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0fora l lx in R , then

if lim_(x rarr0)(1+a cos2x+b cos4x)/(x^(4)) exists for all x in R and has the value equal to c. Find the value of 3(a+b+c)

If |[sin2x,cos^2x,cos4x],[cos^2x,cos2x,sin^2x],[cos^4x,sin^2x,sin2x]|=a_0+a_1 (sinx)+a_2(sin^2x)+....+a_n(sin^n x) then the value of a_0 is-