Question

verify this identity
(1-sin x)/(1+sin x)=(sec x-tan x)^2

Answer 1

really?

Answer 2

i did i got stuck

Answer 3

i am guessing multiply the left hand side top and bottom by \(1-\sin(x)\) might be snappy, but maybe not
let me try it

Answer 4

yeah that will meet @Loser66 in the middle
if you multiply
\[\frac{1-\sin(x)}{1+\sin(x)}\times \frac{1-\sin(x)}{1-\sin(x)}\] you get
\[\frac{1-2\sin(x)+\sin^2(x)}{\cos^2(x)}\]

Answer 5

yes thats where i got to and i got stuck

Answer 6

oh isnt that what you get when you expand the right hand side?

Answer 7

i am sure it is
check it

Answer 8

nope the rhs is sec ^2 x-2secx +tanx+tan^2 x

Answer 9

\[\sec^2(x)-2\tan(x)\sec(x)+\tan^2(x)\]

Answer 10

your plus should be a times in the middle

Answer 11

that is what you get if you divide term by term from here \[\frac{1-2\sin(x)+\sin^2(x)}{\cos^2(x)}\]

Answer 12

oh ok thanks

Answer 13

get with the latex brother alph

Answer 14

OMG @primeralph he got you dude....

Answer 15

@satellite73 Why, why you always got to give away my secrets?