Question

Prove the following


(Sinx+sin3x)/cosx+cos3x=tan2x..



Gud nyt sd..

Day 3..still 87 days left..

Answer 1

Explanation:

Okey , Here Is Your Answer =>

LHS ,

sinx + sin3x / cosx + cos3x

= [ 2sin (x+3x / 2) Cos (x-3x /2) ] / [ 2cos (x+3x / 2) cos (x-3x / 2) ]

= [ sin (x+3x / 2) ] / [ cos (x+3x /2) ]

= [sin 2x] / [ cos 2x ]

= tan2x

RHS,

tan2x

So RHS = LHS (Proved)

Hope It Helped!!