Question

PROV THE IDENTITY
TAN^2Θ= ((1-cos(2Θ))/((1+cos(2Θ))

Answer 1

@Mertsj can you tell me how to solve this

Answer 2

anyone?

Answer 3

try using
\[\large cos(2x)=\cos^2x-\sin^2x \]
it will follow easyly from this

Answer 4

Going to use x instead of theta

Answer 5

ok

Answer 6

\[\frac{1-\cos 2x}{1+\cos 2x}=\frac{1-(\cos ^2x-\sin ^2x)}{1+(\cos^2-\sin ^2x)}=\frac{1-\cos ^2x+\sin ^2x}{1-\sin ^2x+\cos ^2x}\]

Answer 7

1st of all i used the wrong identity.. ok i get that part now though

Answer 8

\[\frac{\sin ^2x+\sin ^2x}{\cos ^2x+\cos ^2x}=\frac{2\sin ^2x}{2\cos ^2x}\]

Answer 9

okay. i understand that too

Answer 10

sin^2 is 1-cos^2 right? so would you do that next?

Answer 11

What is 2/2 ?

Answer 12

1. ok so it cancels

Answer 13

What is:
\[\frac{\sin x}{\cos x}\]

Answer 14

ohhh i understand. so youre left w/ sin^2x/ cos^2x which is tan^2x

Answer 15

yes

Answer 16

thank you

Answer 17

can you help me w/ one more

Answer 18

i can post it as new question

Answer 19

possibly

Answer 20

What is it?

Answer 21

its another proving trig identity