If `tan^(2)alpha tan^(2)beta+tan^(2)gamma+tan^(2)gamma tan^(2)alpha+2tan^(2)alpha tan^(2)beta tan^(2)gamma=1`, then the value of `sin^(2)alpha+sin^(2)beta+sin^(2)gamma` is

If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2 alpha + 2 tan^2 alpha tan^2 beta tan^2 gamma = 1 then sin^2 alpha + sin^2 beta + sin^2 gamma =

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

If a line makes anles alpha, beta, gamma with the coordinate axes, porve that sin^2alpha+sin^2beta+sin^2gamma=2

If 0lt=alpha,betalt=90^@ and tan(alpha+beta)=3 and tan(alpha-beta)=2 then value of sin2alpha is

Vector vecP angle alpha,beta and gamma with the x,y and z axes respectively. Then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If alphagt0, betagt0, gammagt0, alpha+beta+gamma= pi show that sin^2alpha+sin^2beta-sin^2gamma =

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sinalpha sinbeta cosgamma, then write the value of lambda