if `cosalpha=12/13, cosbeta=3/5, cosgamma=63/65` and `alpha,beta,gamma` are positive acute angles, then `alpha+beta+gamma` is equal to

If cos alpha = 12/13, cos beta = 3/5 "and" cos gamma = 63/65"where" 0 ltalpha,beta,gammaltpi/2 "then the value of" cos(alpha + beta + gamma) "is"

If alpha, beta, gamma are positive acute angles, prove that sin alpha+sin beta+ sin gamma gt sin (alpha+ beta+ gamma)

If alpha,beta,gammain[0,pi] and alpha,beta,gamma are in AP, then (sinalpha-singamma)/(cosgamma-cosalpha) is equal to

If cosalpha,cosbeta,cosgamma are the direction cosines of a vector veca , then cos2alpha+cos2beta+cos2gamma is equal to

If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 and alpha+beta+gamma=0 , then cos3alpha+8cos3beta+27sin3gamma=

A line makes acute angles of alpha,beta and gamma with the coordinate axes such that cosalpha,cosbeta=cosbeta,cosgamma=2/9 and cosgamma cosalpha=4/9 then cosalpha+cosbea+cosgamma is equal to

If alpha,beta,gamma are acute angle such that cos alpha=tan beta,cos beta=tan gamma and cos gamma=tan alpha then

If cosalpha+cosbeta+cosgamma=sinalpha+sinbeta+singamma=0 , then the value of cos3alpha+cos3beta+cos3gamma is

If alpha,beta,gammain[0,pi] and alpha,beta,gamma are in AP, then (sinalpha-singamma)/(cosgamma-cosalpha) is equal to ............... A) sin beta B) cos beta C) cot beta D) 2 cos beta

If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 , then the value of sin3alpha+8sin3beta+27sin3gamma is a. sin(alpha+beta+gamma) b. 3sin(alpha+beta+gamma) c. 18"sin"(alpha+beta+gamma) d. sin(alpha+2beta+3)