If `0ltalphaltbetaltgammagtpi//2`,then prove that `tanalphalt(sinalpha+sinbeta+singamma)/(cosalpha+cosbeta+cosgamma)lttangamma`.

If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gamma))/(sinalpha+sinbeta+singamma)<1

If 0 lt alpha lt beta lt gamma lt pi//2 , then the equation (x-sinbeta)(x-singamma)+(x-sinalpha)(x-singamma)+(x-sinalpha)(x-sinbeta)=0 has

Prove that |cosalpha-cosbeta|lt=|alpha-beta|

If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be (a) -sinalpha (b) sinbeta (c) cosalpha (d) cosbeta

If cosalpha+cosbeta+cosgamma=0a n da l sosinalpha+sinbeta+singamma=0, then prove that cos2alpha+cos2beta+cos2gamma =sin2alpha+sin2beta+sin2gamma=0 sin3alpha+sin3beta+sin3gamma=3sin(alpha+beta+gamma) cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma)

Suppose alpha,betaa n dtheta are angles satisfying 0

By geometrical interpretation, prove that (i) sin(alpha+beta)=sin alpha cos beta+sinbeta cosalpha (ii) cos(alpha+beta)=cosalpha cosbeta -sin alpha sinbeta

vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammadot Assuming the y-z plane as a mirror, the directin cosines of the reflected image of vec A in the plane are a. cosalpha,cosbeta,cosgamma b. cosalpha,-cosbeta,cosgamma c. -cosalpha,cosbeta,cosgamma d. -cosalpha,-cosbeta,-cosgamma

vec A isa vector with direction cosines cosalpha,cosbetaa n dcosgammadot Assuming the y-z plane as a mirror, the directin cosines of the reflected image of vec A in the plane are a. cosalpha,cosbeta,cosgamma b. cosalpha,-cosbeta,cosgamma c. -cosalpha,cosbeta,cosgamma d. -cosalpha,-cosbeta,-cosgamma

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)