Suppose `alpha,betaa n dtheta` are angles satisfying `0

Suppose alpha,beta a n d theta are angles satisfying 0 < alpha < theta < beta < pi/2 dot Then prove that (sin alpha-sin beta)/(cos beta-cos alpha)=-cot theta

Suppose alpha,beta and theta are angles satisfying 0

Suppose alpha,beta,gammaa n ddelta are the interior angles of regular pentagon, hexagon, decagon, and dodecagon, respectively, then the value of |cosalphasecbetacosgammacos e cdelta| is _________

Suppose alpha,beta,gammaa n ddelta are the interior angles of regular pentagon, hexagon, decagon, and dodecagon, respectively, then the value of |cosalphasecbetacosgammacos e cdelta| is _________

Suppose alpha,beta,gammaa n ddelta are the interior angles of regular pentagon, hexagon, decagon, and dodecagon, respectively, then the value of |cosalphasecbetacosgammacos e cdelta| is _________

If alpha and beta are two positive acute angles satisfying alpha-beta=15^(@) and sin alpha=cos2 beta then the value of alpha+beta

If alpha and beta are two positive acute angles satisfying alpha-beta=15^(@) and sin alpha=cos2 beta then find the value of alpha+beta

vec u , vec va n d vec w are three non-coplanar unit vecrtors anf alpha,betaa n dgamma are the angles between vec ua n d vec v , vec va n d vec w ,a n d vec wa n d vec u , respectively, and vec x , vec ya n d vec z are unit vectors along the bisectors of the angles alpha,betaa n dgamma , respectively. Prove that [ vec xxx vec y vec yxx vec z vec zxx vec x]=1/(16)[ vec u vec v vec w]^2sec^2alpha/2sec^2beta/2sec^2gamma/2dot