If `0ltalphaltbetaltpi/2` show that `alpha-sinalphaltbeta-sinbeta`

If 0ltalphaltbetaltpi/2, show that (sinalpha)/alphagt(sinbeta)/beta

If 0ltalphaltpi/2, show that alpha-alpha^3/3ltsinalpha

If 0ltalphaltpi/2, show that alpha- alpha^3/3ltsinalpha

If 0 lt alpha lt pi/2 then show that tanalpha+cotalphagtsinalpha+cosalpha

If alpha,beta in (-pi/2,0) such that (sin alpha+sinbeta)+(sinalpha)/(sinbeta)=0 and (sinalpha+sinbeta) (sinalpha)/(sinbeta)=-1 and lambda=lim_(n->oo) (1+(2sinalpha)^(2n))/((2sinbeta)^(2n)) then :

Suppose alpha,betaa n dtheta are angles satisfying 0

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

Show by vector method that sin(alpha-beta)=sinalphacosbeta-cosalpha sinbeta.

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

(a) show that alpha^2 + beta^2 + alpha beta =0