Home
Class 12
MATHS
If alphagt0, betagt0, gammagt0, alpha+be...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If alphagt0, betagt0, gammagt0 and alpha+beta+gamma lt pi/2 show that tanalphatanbeta+tanbetatangamma+tangammatanalphalt1

Given alpha+beta-gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=2sinalphasinbetacosgammadot

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

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma , then (sin3alpha+sin3beta+sin3gamma)/(sin(alpha+beta+gamma)) is equal to

If sin alpha+ sin beta+ sin gamma=3, then sin^3alpha+sin^3beta+sin^3 gamma=

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 a vector makes angles alpha,beta,gamma. with . OX ,O Ya n dO Z respectively, prove that sin^2alpha+sin^2beta+sin^2gamma=2.

Let alpha, beta, gamma be the measures of angle such that sin alpha+sin beta+sin gamma ge 2 . Then the possible value of cos alpha + cos beta+cos gamma is

If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2

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