Prove the identity Tan3 sec3 x sec4 x sec2 xsec x tan xSol

Prove the identity. Tan^3 sec^3 x = (sec^4 x - sec^2 x)sec x tan x

tan^3 x sec^3 x = ( sec^4 x - sec^2 x ) sec x tan x

proving right hand side

taking gcf out from ( sec^4 x - sec^2 x )

sec^3 x ( sec^2 x - 1 ) tanx

sec^2 x - 1 = tan^2 x

sec^3 x tan ^3 x

which is left hand side

hence proved!