[" If "sin^(4)alpha+4cos^(4)beta+2=4sqrt(2)sin alpha cos beta],[alpha,beta in[0,pi]" then "cos(alpha+beta)-cos(alpha-beta)=],[" (JEE "MAINS-2019)],[" 1) "-sqrt(2)quad " 2) "0]

sin^(4)alpha+4cos^(4)beta+2=4sqrt(2)sin alpha cos beta;alpha,beta in[0,pi], then cos(alpha+beta)-cos(alpha-beta) is equal to :

If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, alpha beta in [0, pi] , then cos (alpha + beta) - cos (alpha - beta) is equal to -sqrt(k) . The value of k is _________.

If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, alpha beta in [0, pi] , then cos (alpha + beta) - cos (alpha - beta) is equal to -sqrt(k) . The value of k is _________.

If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(2) , then (sin alpha+cos beta) is equal to

If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(2) , then (sin alpha+cos beta) is equal to

If sin^(4)alpha+cos^(4)beta+2=4 sin alpha cos beta, 0 le alpha, (pi)/(2) , then (sin alpha+cos beta) is equal to

Ifsin^(4)alpha+cos^(4)beta+2=4sin alpha cos beta,0<=alpha,beta<=(pi)/(2) then find the value of (sin alpha+cos beta)