[cos(alpha-beta)=1" and "cos(alpha+beta)=(1)/(e)],[" where "alpha,beta in[-pi,pi]." Pairs of "a,beta" which satisfy both the "],[" equations is/are "]

cos(alpha-beta)=1 and cos(alpha+beta)=1//e , where alpha, beta in [-pi, pi] . Number of pairs of alpha, beta which satisfy both the equations

cos(alpha-beta)=1 and cos(alpha+beta)=(l)/(e), where alpha,beta mu in[-pi,pi]. Number of pairs of alpha,beta which satisfy both the equations is 0(b)1(c)2 (d) 4

if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi,pi] . Number of pairs of alpha,beta which satisfy both the equations is 0 (b) 1 (c) 2 (d) 4

cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi,pi] . Number of pairs of alpha,beta which satisfy both the equations is 0 (b) 1 (c) 2 (d) 4

cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi,pi] . Number of pairs of alpha,beta which satisfy both the equations is 0 (b) 1 (c) 2 (d) 4

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 where alpha,beta in [0,pi/2] , then tan(2alpha+beta)=

cos alpha+cos beta-cos(alpha+beta)=(3)/(2) then show that alpha=beta=(pi)/(3)

sin alpha+sin beta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of cos(alpha+beta) is