Question

Prove tan^3xsec^2x-tan^3x = tan^5x

Answer 1

\[\tan ^{3}x \times \sec ^{2} x - \tan ^{3}x = \tan ^{5}x \]

Answer 2

factor out the tan^3 x from the left side,
what do u get on left side then ?

Answer 3

tan^3 (sec^2x -1)

Answer 4

yes,
now use the pythagorean identity that
sec^2 x = 1+ tan^2 x
in that