If `sin(alpha+beta)sin(alpha-beta)=singamma(2sinbeta+singamma),` where `0 < alpha,beta,gamma < pi,` then the straight line whose equation is `xsinalpha+ysinbeta-singamma=0` passes through point (a) `(1,1)` (b) `(-1,1)` (c) `(1,-1)` (d) none of these

If 3sinbeta=sin(2alpha+beta) then

If cos(alpha+beta)=0 then sin(alpha+2beta)=

If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,beta in R then (a) sin(alpha+beta+gamma)=singammaAAgamma in R (b) cosalphacosbeta=1AAalpha,beta in R (c) (cosalpha+cosbeta)^2=4AAalpha,beta in R (d) sin(alpha+beta+gamma)=sinalpha+sinbeta+singamma AAa , b ,gamma in R

The value of the determinant Delta = |(sin 2 alpha,sin (alpha + beta),sin (alpha + gamma)),(sin (beta + gamma),sin 2 beta,sin (gamma + beta)),((sin gamma + alpha),sin (gamma + beta),sin 2 gamma)| , is

If 2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma are in

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

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

Prove that: sinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin((alpha+beta)/2)sin((beta+gamma)/2)sin((gamma+alpha)/2)dot

Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(sin (ntheta))/(sin^n theta) , where alpha and beta are the roots of the equation t^2-2t+2=0 .

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)