prove that cosx(tanx+2)(2tanx+1)=2secx+5sinx

Answer 1

Looks like "homework or assignment dumping" to me
Exactly what problems do you have with this list of trig questions?

I will do this one.... show me some attempts at the others

LS = cosx(2tan^2 x + 5tanx + 2)
= 2cosx sin^2 x/cos^2 x + 5cosxsinx/cosx + 2cosx
= 2sin^2 x/cosx + 5sinx + 2cosx
= (2sin^2 x + 5sinxcosx + 2cos^2 x)/cosx
= (2 + 5sinxcosx)/cosx
= 2/cosx + 5sinx
= 2secx + 5sinx
= RS

Answer 2

Good, but i can do better than this