Question

Prove:
tanx+secx=cosx/1-sinx

Answer 1

tanx = (sinx)/(cosx)

secx = 1/(cosx)

⇒ tanx +secx = (sinx)/(cosx) + 1/(cosx)

⇒ tanx + secx = (sinx + 1)/(cosx)

⇒(sinx + 1)/(cosx) = (cosx)/(1 - sinx) is equivalent to:

(sinx + 1).(1 - sinx) = (cosx).(cosx) =

= (1 + sinx).(1 - sinx) = (cosx)²

⇒ (1 + sinx).(1 – sinx) = 1 – sin² x = cos² x

Answer 2

that doesnt seem right. I dont know if you understood the problem right

Answer 3

@andrea408

Answer 4

cosx/(1-sinx) X (1+sinx)/(1+sinx)
cosx(1+sinx)/(1-sin^2x)
cosx(1+sinx)/(cos^2x)
(1+sinx)/(cosx)
1/cosx + sinx/cosx
secx + tanx

Answer 5

thank you very much!

Answer 6

:)

Answer 7

@andrea408 what side are you suppose to start from?

Answer 8

step by step answers posted here

http://www.mathskey.com/question2answer/1991/prove?show=1992#a1992


ask your trigonometry homework questions at http://www.mathskey.com/question2answer/ … and get free math help. all the best