Question

.Simplify square root parenthesis 1 minus cosine theta parenthesis times parenthesis 1 plus cosine theta parenthesis divided by cosine squared theta.

square root sine theta

±sin Θ

±cos Θ

|tan Θ|

Answer 1

\[\sqrt{\frac{(1-\cos\theta)(1+\cos\theta)}{\cos^2 \theta}}\]

Answer 2

Excuse my ugliness.

Answer 3

LOL, no worries. :)

Answer 4

:3

Answer 5

Well, this problem certainly looks frightening doesn't it?

Answer 6

yes :c

Answer 7

But, math is known for trying to make itself scarier than it really is. It's just that most people run before they see that math just tries to act scary.

Answer 8

I Dont like math ;c

Answer 9

I guess most people don't... you are in the majority. :)

Answer 10

neways, lets focus in on one piece at a time. I'm going to write THETA as t if you don't mind...

Answer 11

okay c:

Answer 12

Alright, so let's take a big breath and look at only one part of the problem... how about tackling those parenthesis first...

Answer 13

Let's deal with (1 - cos t)(1 + cos t) can we simplify this?

Answer 14

Or expand?

Answer 15

Yes. o-o would it be sin?

Answer 16

Hmm... not sure, how did you get that?

Answer 17

i was using pythagoras identity ;o

Answer 18

So, we get (1 - cos t)(1 + cos t) = 1 - cos^2 t right?

Answer 19

Yess.

Answer 20

Alright, so are you saying that 1 - cos^2 t = sin t ?

Answer 21

Sin^2t ;o

Answer 22

Good! Now I agree! ;)

Answer 23

OH WAIT. Would the answer be a tan? ;o

Answer 24

AHA! You've got it on the run! Yes! :D

Answer 25

So D?

Answer 26

Yes, the absolute value bars are there because we have tan^2 on the inside

Answer 27

THANK YOUUUU.

Answer 28

YOU ARE WELCOME!! And you did all the thinking for the most part! :)

Answer 29

You did well for not liking math!

Answer 30

C: