Question

Prove that
$\frac{ \sin(a) + \tan(a) }{ \cos(a) } = \tan(a) (1 + \sec(a))$
​

Answer 1

Answer:

LHS

sina + tana/cos a

sina +sina/cosa /cosa

sina.cosa + sina / cos^2a

sina (cosa +1)/cos^2a

sina( cosa +1)/cosa.cosa

sina/cosa ×(cosa +1)/cosa

tana × (cosa/cosa +1/cosa)

tana ( 1 + seca) = RHS