If x/("tan"(theta+alpha))=y/("tan"(theta...

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

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

If (x)/(tan(theta-alpha)) = (y)/(tan(theta+beta)) = (z)/(tan(theta+gamma)) then sum(x+y)/(x-y)sin^(2)(alpha-beta) is equal to :

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=(tan alpha+tan beta)/(1+tan alpha tan beta) then show that sin2 theta=(sin2 alpha+sin2 beta)/(1+sin2 alpha sin2 beta)

If (tan(alpha +beta - gamma))/(tan(alpha -beta + gamma)) = (tan gamma/tan beta) show that sin(beta -gamma) =0 or sin(beta -gamma) =0 , or sin2 alpha +sin2 beta + sin2 gamma =0

If sin theta=3sin(theta+2 alpha), then the value of tan(theta+alpha)+2tan alpha is

If (tan(alpha+beta-gamma))/(tan(alpha-beta+gamma))=(tan gamma)/(tan beta),(beta!=gamma) then sin2 alpha+sin2 beta+sin2 gamma=(a)0(b)1(c)2(d)(1)/(2)

If alpha+beta=theta and (tan alpha)/(tan beta)=(x)/(y), prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

If x=cos alpha+i sin alpha,y=cos beta+i sin beta then prove that (x-y)/(x+y)=i(tan)(alpha-beta)/(2)

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