If `sinalpha+sinbeta` and `cosalpha+cosbeta=b ,` prove that `tan(alpha-beta)/2=+-sqrt((4-a^2-b^2)/(a^2+b^2))` .

If sin alpha+sin beta=a and cos alpha+cos beta=b prove that tan((alpha-beta)/(2))=+-sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))

If sinalpha+sinbeta=a and coslapha+cosbeta=b then prove that sin(alpha+beta)=(2ab)/(a^2+b^2)

If sin alpha+sin beta=a and cos alpha+cos beta=b prove that :cos(alpha-beta)=(1)/(2)(a^(2)+b^(2)-2)

If s in alpha+s in beta=a and cos alpha+cos beta=b prove that: cos(alpha-beta=(a^(2)+b^(2)-2)/(2))

If sin alpha + sin beta = a " and " cos alpha + cos beta = b then proved that cos(alpha - beta) = (a^(2) + b^(2) - 2)/(2) " and " tan ""(alpha - beta)/(2) = pm sqrt (4-a^(2)-b^(2))/(a^(2)+b^(2)) .

If sinalpha+cosbeta=5/4 and cosalpha+sinbeta=3/4 , then value of sin(alpha+beta)=?

If s in alpha+s in beta=a and cos alpha-cos beta=b then (tan(alpha-beta))/(2)=-(a)/(b) b.(b)/(a) c.sqrt(a^(2)+b^(2)) d.none of these

If sinalpha+cos alpha=sqrt2 cos alpha then prove that tan 2alpha=1

If cosalpha+cosbeta=a, sinalpha+sinbeta=b, then cos(alpha+beta) is equal to (A) (2ab)/(a^2+b^2) (B) (a^2+b^2)/(a^2-b^2) (C) (a^2-b^2)/(a^2+b^2) (D) (b^2-a^2)/(b^2+a^2)

If 0