Ask your own question, for FREE!
Mathematics 13 Online
OpenStudy (darkbluechocobo):

Help using fundamental trigonometrical functions

OpenStudy (darkbluechocobo):

\[\frac{ \cos(\theta) }{ \sin(\theta) }+\frac{ \sin(\theta) }{ \cos(\theta) }\]

OpenStudy (freckles):

you want to add fractions?

OpenStudy (freckles):

you can combine fractions by finding common denominator

OpenStudy (freckles):

multiply first fraction by cos(theta)/cos(theta) multiply second fraction by sin(theta)/sin(theta)

OpenStudy (darkbluechocobo):

Alright one moment

OpenStudy (darkbluechocobo):

so\[\frac{ \cos^2(\theta) }{ \sin(\theta)\cos(\theta) }+\frac{ \sin(\theta)\cos(\theta) }{ \cos^2(\theta) }\]

OpenStudy (freckles):

hmmm not what i suggested... I was talking about doing this...

OpenStudy (freckles):

\[\frac{\cos(\theta)}{\sin(\theta)} \cdot \frac{\cos(\theta)}{\cos(\theta)}+\frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\sin(\theta)}{\sin(\theta)}\]

OpenStudy (darkbluechocobo):

Im sorry I am really confused by this s: why wouldn't you combine them

OpenStudy (freckles):

you do that so you can combine them

OpenStudy (freckles):

notice that have the same denominator now

OpenStudy (darkbluechocobo):

Oh yes i screwed up on my 2nd denominator because I wasn't thinking dang it

OpenStudy (freckles):

yeah should end up with this: \[\frac{\cos^2(\theta)+\sin^2(\theta)}{\sin(\theta)\cos(\theta)}\] and there is a special identity you can use on top you could even use an identity for the bottom if you really wanted but I think this is enough work

OpenStudy (darkbluechocobo):

egh the closest I have in the multiple choice is \[\frac{ \cos(\theta)+\sin(\theta) }{ \cos(\theta)\sin(\theta) }\]

OpenStudy (freckles):

come on you know sin^2(x)+cos^2(x)=?

OpenStudy (darkbluechocobo):

1 rip i just thought of it

OpenStudy (darkbluechocobo):

How to not think 101 my brain today

OpenStudy (darkbluechocobo):

sorry bout that I just learned bout the Pythagorean theories for these today so its still sinking in

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!