Question

How do you verify the identity of the following :
((cosx)/(1+sinx))+((1+sinx)/(cosx))=2secx
PLEASE HELP!

Answer 1

@mayaal any chance you could help?

Answer 2

yup

Answer 3

1+ sinx)/(cos x) + (cos x)/(1+sin x)

=(1+ sinx)/(cos x) + [(cos x)(1-sinx)]/[(1+sin x)(1-sinx)]

=(1+ sinx)/(cos x) + [(cos x)(1-sinx)]/(1-sin²x)

=(1+ sinx)/(cos x) + [(cos x)(1-sinx)]/(cos²x)

=(1+ sinx)/(cos x) + (1-sinx)/(cosx)

=1/cosx + tanx + 1/cosx - tanx

=secx +secx

=2secx

Answer 4

got it....?

Answer 5

THANK YOU!

Answer 6

Aaisha where r u from...?

Answer 7

what about this one? cot(x-pi/2)=-tanx any idea?

Answer 8

from the US, wbu?

Answer 9

I live on us but i was born in Pakistan.... :)

Answer 10

in*

Answer 11

let me see...

Answer 12

cot(p/2-x)=tan x u knw that?

Answer 13

no what?

Answer 14

u see the cot function is an odd function so

cot(-x)=-cot x

Answer 15

that is the reversal happened here

Answer 16

hence proved :)

Answer 17

Got it...?