If `sinalpha+sinbeta=0=cosalpha+cosbeta,"where"0 lt betaltalphalt2pi` , then which one of the following is correct ?

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

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

If sinalpha+sinbeta=1//2 and cosalpha+cosbeta=sqrt(3)//2 then 3beta+alpha =

If sinbeta is the harmonic mean of sinalpha and cosalpha , and sintheta is the arithmetic mean of sinalpha" and "cosalpha , then which of the following is/are correct? 1. sqrt(2)sin(alpha+(pi)/(4))sinbeta=sin2alpha 2. sqrt(2)sintheta=cos(alpha-(pi)/(4)) Select the correct answer using the code given below:

The expression (sinalpha+sinbeta)/(cosalpha+cosbeta) is equal to

If sinalpha+sinbeta=1/2 , cosalpha+cosbeta=5/4 find the value of tanalpha+tanbeta

If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta

If cosalpha+cosbeta=0=sinalpha+sinbeta , then cos2alpha+cos2beta=?

If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "cos"(alpha+beta) .

if abs({:(sinalpha, cosbeta), (cosalpha, sinbeta):})=1/2 , where alpha, beta are acute angles, then find the value of alpha+beta . a) pi/3 b) (2pi)/3 c) pi/2 d) pi/4