sec x cos x sin x tan xSolutionSolution Here LHS secx co

sec x - cos x = sin x tan x

Solution:

Here;

L.H.S = secx - cosx

=> L.H.S = (1 / cosx) - cosx .(because; secx = 1/ cosx)

=> L.H.S = (1 - cos²x) / cosx

=> L.H.S = sin²x / cosx

=> L.H.S = sinx (sinx / cosx)

=> L.H.S = sinx tanx .(because; tanx = sinx / cosx)

=> L.H.S = R.H.S (Hence proved)