Question

how do I verify the identity:

cos x
------- = sec x + tan x
1-sin x

Answer 1

Multiply both top and bottom of fraction by 1+sinx and simplify

Answer 2

\[\frac{1}{cosx}+\frac{sinx}{cosx}\]

Answer 3

\[\frac{1+\sin(x)}{\cos(x)}\]

Answer 4

But how do I get to \[\frac{ 1+sin (x) }{ cos (x) }\]?? Do I multiply by the equation by 1+sin and then cos?

Answer 5

well i took the common factor, like if you want to add 1/2 + 3/2 = 1+3/2, the same method u may use for the above

Answer 6

okay thank you!

Answer 7

you're welcome!

Answer 8

by the way you need to correct the quesion