Show that :- `4 sin beta sin(60^(@)+beta)sin(60^(@)-beta)=sin 3beta`.

If 3tan alpha=4tan beta ,then prove that tan(alpha-beta)=(sin beta*cos beta)/(3+sin^(2)beta)=(tan beta)/(4tan^(2)beta+3)

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

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 3tan alpha=4tan beta then prove that tan(alpha-beta)=(tan beta)/(4tan^(2)beta+3)=(sin beta*cos beta)/(3+sin^(2)beta)

If 4tan beta=3, then (4sin beta-3cos beta)/(4sin beta+3cos beta)=

Show that 2"sin"^(2)beta+4 cos(alpha+beta)"sin" alpha sin beta+cos2(alpha+beta)=cos 2alpha .

Show that: sin^2 alpha + sin^2 beta + 2sinalpha sinbeta cos(alpha+beta)=sin^2 (alpha+beta)

If A=[(cos^(2)alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)] and B=[(cos^(2)betas,cos beta sin beta),(cos beta sin beta, sin^(2) beta)] are two matrices such that the product AB is null matrix, then alpha-beta is

If 4 tan beta = 3 , then (4 sin beta - 3 cos beta)/( 4 sin beta + 3 cos beta)=

Let alpha,beta and gamma are the angles of a right angle triangle,then the value of sin alpha*sin beta*sin(alpha-beta)+sin beta*sin gamma*sin(beta-gamma)+sin gamma*sin alpha*sin(gamma-beta)+sin(beta-gamma)*sin(gamma-gamma)*sin(gamma-