Question

Which of the following is an identity?

A. sin x - cos x + 1 = tan x

B. (1 - 2sin^2 x)csc^2 x = 4cos^2 x - 2

C. sin^2 x cot^2 x + cos^2 x tan^2 x = 1

D. tan^2 x + cot^2 x = 1

***i think it's either A or C, but I can't figure out which one it is.... what do u think? @terenzreignz ? :)

Answer 1

Tricky... hold on a sec...

Answer 2

kk:)

Answer 3

okay.... which one is your guess?
come now...

Answer 4

so i think it's either A or C, but as i'm looking at it now, i'm leaning a lot more towards A.. is that a good feeling that I'm feeling when i'm feeling that it should be A? ;p hehe or is it just BAD? hahahaha

Answer 5

Well, too bad...
\[\huge \sin^2(x)\cot^2(x)=\sin^2(x)\cdot\frac{\cos^2(x)}{\sin^2(x) }=\color{red}? \]

Answer 6

aww gosh darn :(

it was a bad feeling then.... :( darn.

it equals cos^2 x? cuz the sin^2 x cancels out right?

Answer 7

Yes, precisely :)
Also, similarly...
\[\huge \cos^2(x)\tan^2(x)=\cos^2(x)\cdot\frac{\sin^2(x)}{\cos^2(x) }=\color{green}?\]

Answer 8

sin^2 x?

Answer 9

Yes... so in fact, C becomes...
\[\large \color{red}{\sin^2(x)\cot^2(x)}+\color{green}{\cos^2(x)\tan^2(x)} = 1\]
May be simplified into...?

Answer 10

does it simplify to this? sin^2 x cot^2 x + cos^2 x tan^2 x = 1

Answer 11

Sorry, I meant the left side simplifies into...?

Answer 12

Given those two preliminary questions I asked you (LOL)

Answer 13

wait what? hahaha confused :/

Answer 14

what am i simplifying? :/

Answer 15

\[\huge \color{red}{\sin^2(x)\cot^2(x)}=\color{blue}{\cos^2(x)}\\ \huge \color{green}{\cos^2(x)\tan^2(x)}=\color{blue}{\sin^2(x)}\]

Now please simplify the left side...\[\large \color{red}{\sin^2(x)\cot^2(x)}+\color{green}{\cos^2(x)\tan^2(x)} = 1\]

Answer 16

ohhh okay... so cos^2 x + sin^2 x ?

Answer 17

Yup... so it becomes
\[\huge \color{blue}{\cos^2(x)+\sin^2(x)}=1\]

Which is always true, right?

Answer 18

yes, at least i believe so! sooo what does that mean? :O is the answer C then? :)

Answer 19

Yes. ;)

Answer 20

Did your score go up a point? :/

Answer 21

yay!! :) haha stupid gut... and my stupid feelings :P

i had a feeling it was either A or C.. then i had a feeling it was A, and boy was that feeling wrong hahaha :P

oh well... i'll give my feelings a second chance ;)

thanks!!! :D

my score? :/

Answer 22

idk what you mean haha? what score? :/

Answer 23

Never mind :)

Quiero ver tu ultima pregunta :)

Answer 24

haha coming right up! :)

Answer 25

haha coming right up! :)