Maximum value of `sinalpha + sinbeta+2, where `alpha+beta =120^@ & alpha,beta in (0,pi/2)`

If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta) =

Let cos alpha + cos beta =2 and sinalpha + sinbeta =0 , where 0 le alpha le 90^(@), 0 le beta le 90^(@) . What is the value of cos2alpha - cos 2beta ?

The minimum value of the expression sinalpha+sin beta+sin gamma , where alpha, beta, gamma are real numbers satisfying alpha+beta+gamma=pi , is

sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)

Statement I The minimum value of the expression sinalpha+sinbeta+singamma where alpha, beta, gamma are real numbers such that alpha+beta+gamma=pi is negative. Statement II If alpha+beta+gamma=pi , then alpha, beta, gamma are the angles of a triangle.

If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

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

If alpha+beta=90^@ and alpha:beta=2:1 then sinalpha:sinbeta=