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try expanding the cos(a-b) part

How? I look at my textbook, but it isn't helping me understand more.

then separate the fraction after the expansion
do some canceling
and finally just a little rewriting

you don't know the difference identity for cosine?

No. My textbook never showed or told me.

It just gives me problems to do and then I take my test.

Correct. I am working hard to learn.. But I am confused.

yes?

Can you help me a little better?

can you tell me if you applied that identity yet?

Like, I am confused. I have done some sins, cos, and tans but not like this.

do you see the cos(a-b) on top?

do any of the identities I mentioned look like this on the left hand side?

I do and yes.

well can you apply that identity then...

like can you expand cos(a-b)

The expanding is the confusing part. Never done it.

I see now.

replace the x and y on the right hand side with a and b respectively

and you have expanded cos(a-b)

Okay. Is that all I do?

to expand cos(a-b) yes
for the question you have asked here at the top, no

I actually gave a few more steps above after the expansion

Okay. Thanks!

something about separating the fraction
canceling stuff
and rewriting a bit

can you show me what you have after rewriting \[\frac{\cos(a-b)}{\cos(a)\cos(b)}\]

or show me what you have for the numerator please

Yes

Cos(x-y)= cos(x) cos (y)
I am still somewhat confused

ok well it looks like you didn't use the identity I mentioned above

cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

cos(a-b)=?

|dw:1444190564321:dw|

Uhhh, ??? Sorry.. I have no clue. I have never done a problem like this.
Cos(x-y)

|dw:1444190659448:dw|

|dw:1444190692534:dw|

Cos(x-y)= cos(x)cos(y) + sin(x)sin(y)

Okay. I am understanding a little more.

So, 1 + cot a????

It equals... I have no clue. I am trying.

I thought it was 1

so you don't know what tan(x) equals in terms of sin(x) and cos(x)?

I do.. Sort of.

then what does it equal?

Tan a tan b?

tan(x)=tan(a)tan(b)?

or did you mean sin(a)/cos(a)=tan(a)
and sin(b)/cos(b)=tan(b)?

I meant that

I am on the right track?

we should be done

so I hope so :p

So, it is c
?

*?

yes that is what we got 1+tan(a)tan(b)

Yay! Thank you, thank you!