Question

Help please??!! Will medal and fan
Simplify parenthesis 1 minus cosine theta parenthesis times parenthesis 1 plus cosine theta parenthesis divided by parenthesis 1 minus sine theta parenthesis times parenthesis 1 plus sine theta parenthesis

Answer 1

Hey @agent0smith idk if you left yet, but if you did have fun!! And if you haven't help please? :/ lol

Answer 2

Oh and @welshfella can you help please?

Answer 3

Sorry, leaving in minutes.

Post a screenshot cos no one ever is deciphering
"parenthesis 1 minus cosine theta parenthesis times parenthesis 1 plus cosine theta parenthesis divided by parenthesis 1 minus sine theta parenthesis times parenthesis 1 plus sine theta parenthesis"

Answer 4

Ok, I will, you're right about that, lol.

Answer 5

This just looks awesomely hilarious though lol "parenthesis 1 minus cosine theta parenthesis times parenthesis 1 plus cosine theta parenthesis divided by parenthesis 1 minus sine theta parenthesis times parenthesis 1 plus sine theta parenthesis"

Answer 6

OK can you expand the top and bottom of this fraction?

Answer 7

Lol, yeah, idk why I didn't put the pic in the first place XD
Oh btw I fanned you @agent0smith
and @welshfella I had already fanned you a while back ago. Idk if you guys care about that stuff or not, lol

Answer 8

Ummm, let me see, give me a sec

Answer 9

yeah - its nice to know you are appreciated.

Answer 10

Wouldn't the -cos theta and the +cos theta cancel out?
And same with the sin at the bottom?
And yes, you both are vey appreciated :)

Answer 11

I feel like the answer would be cos theta/ sin theta... Am I right?

Answer 12

you are on the right track

this is an example of the 'difference of two squares'

(a + b)( a - b) = a^2 + ab - ab - b^2 = a^2 - b^2

Answer 13

now if we compare that with (1 + cos x)(1 - cos x) we see that it expands to 1 - cos^2 x

follow?

Answer 14

Yes, I follow

Answer 15

OK
in a similar fashion the bottom becomes 1 - sin^2 x


so we have

1 - cos^2 x
----------
1 - sin^2 x

which can be simplifies some more.

Answer 16

do you know the identity

sin^2 x + cos^2 x = 1 ?

Answer 17

Hmmmm, I'm trying to remember...
I think the answer would still be cos theta/ sin theta
Either that or tan^2 theta, because I know it can't be sin^2 theta or cos^2 theta

Answer 18

sin^2 x + cos^2 x = 1
so 1 - cos^2 x = sin^2 x
and 1 - sin^2 x = cos^2 x

make the substitutions

Answer 19

So it would be sin^2 x/ cos^2x ... Now I'm confused. Sorryyy, this is NOT my forte

Answer 20

yes that is right
now use the identity sin x / cos x = tan x

Answer 21

So it's tan^2 theta! Right? :)

Answer 22

to do these problems you need a good knowledge of trig identities.

Answer 23

YES

Answer 24

Yayyyy, thanks!!

Answer 25

yw gtg My daughter needs picking up at the station.

Answer 26

I'm late already

Answer 27

Alright, well bye, thanks for everything. Go pick up your daughter and have fun :) I've always wanted a daughter :) I have a baby sister who is 2 years old. She is 14 years younger than me, lol