" (3) "[" 9"(tan(theta+x))/(a)=(tan(theta+y))/(b)=(tan(theta+2))/(c)],[" fine "(((a+b)/(a-b))sin^(2)(x-y))/(+a)+((b+c)/(b-c))sin^(2)(y-z)],[+quad (c+a)/(c*a)sin^(2)(z-x)]

If(tan(theta+alpha))/(a)=(tan(theta+beta))/(b)=(tan(theta+gamma))/(c)(a+b)/(a-b)sin^(2)(alpha-beta)+(b+c)/(b-c)sin^(2)(beta-gamma)+(c+a)/(c-a)sin^(2)(gamma-alpha)=0

If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c then (a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0

If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c (a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0

If (tan (theta+alpha))/a= (tan (theta+beta))/b= (tan (theta+ gamma))/c , prove that : (a+b)/(a-b) sin^2 (alpha- beta) +(b+c)/(b-c) sin^2 (beta-gamma)+ (c+a)/(c-a) sin^2 (gamma-alpha)=0 .

If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c then prove (a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0

If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma))/c then prove (a+b)/(a-b)sin^2(alpha-beta)+(b+c)/(b-c)sin^2(beta-gamma)+(c+a)/(c-a)sin^2(gamma-alpha)=0

If x=a sin theta,y=b tan theta, then

If (x)/(a)-(y)/(b) tan theta =1 and (x)/(a) tan theta +(y)/(b)=1 , then the value of (x^(2))/(a^(2))+(y^(2))/(b^(2)) is

If x/(tan (theta + alpha)) = y/(tan (theta + beta)) = z/tan(theta + gamma), "prove that" (x+y)/(x-y)sin^(2) (alpha - beta) + (y + z)/(y - z) sin^(2) (beta - gamma) + (z + x)/(z-x) sin^(2) (gamma - alpha ) = 0

If a sin theta+b cos theta=c then (a-b tan theta)/(b+a tan theta)=