Question

(1-cos)(1+cos)/cos^2 = tan^2 please help i would be so grateful

Answer 1

(sin/1+sin)-(sin/1-sin)=-2tan^2

Answer 2

is this the problem
\[ \frac{\sin(x)}{1+\sin(x)} - \frac{\sin(x)}{1-\sin(x)}= -2 \tan^2(x)\]?

Answer 3

I would multiply the two bottoms to find a common denominator.

Answer 4

yes that is the problem

Answer 5

f(x) = sin x/(1 + sin x) - sin x/(1 - sin x) =
Common denominator: (1 - sin x)(1 + sin x) = (1 - sin^2 x) = cos ^2 x
Numerator: sin x(1 - sin x) - sin x(1 + sin x) =
= sin x - sin^2 x - sin x - sin^2 x = -2sin^2 x.
f(x) = -2sin^2 x/(cos^2 x) = -2*tan^2 x
The equation is proven.

Answer 6

you should make it a new post... not edit an old one.

Answer 7

i am new to this website

Answer 8

ok, but please open a new post.

Answer 9

can you help me

Answer 10

Hit the "close button" on this post.
and open a new one.