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Mathematics 14 Online
OpenStudy (lukecrayonz):

sin^2(x-1)/cos(-x)

OpenStudy (lukecrayonz):

@amistre64

OpenStudy (amistre64):

might need to know alittle more about the question

OpenStudy (lukecrayonz):

It just says to simplify @amistre64

OpenStudy (amistre64):

already seems "simple" to me :/

OpenStudy (amistre64):

you can try to shuffle some things about i spose; sin^2 = 1-cos^2 cos(a+b) = cosa cosb - sina sinb and stuff

OpenStudy (amistre64):

cos(-x) = cos(x) ... just some basic trig identities and properties that might be useful

OpenStudy (lukecrayonz):

@amistre64 would you like the possible answers?

OpenStudy (lukecrayonz):

Also quick question on another problem I'm stuck on.

OpenStudy (amistre64):

options would be able to narrow it down :)

OpenStudy (lukecrayonz):

@amistre64 You there?

OpenStudy (lukecrayonz):

@saifoo.khan

OpenStudy (lukecrayonz):

A. -sinx B. cosx C. Sinx D. -cosx

OpenStudy (saifoo.khan):

Where are you stuck? @Lukecrayonz

OpenStudy (lukecrayonz):

@saifoo.khan don't even know where to start :'(((

OpenStudy (saifoo.khan):

Use the 4th identity for numerator. http://www.a-levelmathstutor.com/images/trigonometry/ca-identities01.jpg

OpenStudy (lukecrayonz):

The one Sin(A-B)?

OpenStudy (saifoo.khan):

Yep.

OpenStudy (lukecrayonz):

How.. That makes no sense to me?

OpenStudy (lukecrayonz):

If its sin^2 how would I use Sin(A-B)?

OpenStudy (saifoo.khan):

Ohhh. :o

OpenStudy (lukecrayonz):

hmm?

OpenStudy (lukecrayonz):

I think I got it

OpenStudy (saifoo.khan):

I guess, @satellite73 or @amistre64 will help you here. :/

OpenStudy (lukecrayonz):

sin^2x-1=-cos^2x cos(-x)=cosx so the answer is -cosx

OpenStudy (saifoo.khan):

Wait. How?

OpenStudy (lukecrayonz):

-cos^2x/cosx=-cosx?

OpenStudy (saifoo.khan):

Step 1.

OpenStudy (lukecrayonz):

cos(-x)=cosx

OpenStudy (lukecrayonz):

Pythagorean identities sin^2x+cos^2x=1

OpenStudy (saifoo.khan):

\[\frac{-\cos^2(x-1) +1}{\cos(-x)}\]Then we should get this?

OpenStudy (amistre64):

shuffling trigs is a pain :)

OpenStudy (saifoo.khan):

No pain, no gain. ;)

OpenStudy (amistre64):

do you need to show work?

OpenStudy (amistre64):

http://www.wolframalpha.com/input/?i=simplify+sin%5E2%28x-1%29%2Fcos%28-x%29+ i dont see it popping out an option that you have

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