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Mathematics 12 Online
OpenStudy (anonymous):

Math help ! Medals will be given !

OpenStudy (anonymous):

ok redy

OpenStudy (anonymous):

Simplify the trigonometric expression

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

how bout me

OpenStudy (anonymous):

What about you ?

OpenStudy (anonymous):

never mind

OpenStudy (anonymous):

I mean if you can help that will be great if not then move on.

OpenStudy (loser66):

@smartguy1124 help her or not? if you do, i don't.

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

OK

jimthompson5910 (jim_thompson5910):

Hints: sin^2(x) = 1 - cos^2(x) and a^2 - b^2 = (a-b)(a+b)

OpenStudy (anonymous):

Is this the formula i will need ?

jimthompson5910 (jim_thompson5910):

yes, you will use this to simplify

OpenStudy (anonymous):

Okay then what ?

jimthompson5910 (jim_thompson5910):

tell me what you get when you use the identity sin^2(x) = 1 - cos^2(x) then you factor the numerator using a^2 - b^2 = (a-b)(a+b)

OpenStudy (anonymous):

See this is what i don't understand.

jimthompson5910 (jim_thompson5910):

where are you stuck

OpenStudy (anonymous):

This whole problem.

jimthompson5910 (jim_thompson5910):

well first you replace sin^2(x) with 1 - cos^2(x) then you factor 1 - cos^2(x) to get ______

OpenStudy (anonymous):

cos^2

jimthompson5910 (jim_thompson5910):

1 - cos^2(x) is the same as 1^2 - cos^2(x) now you use the difference of squares factoring rule

OpenStudy (anonymous):

are you asking me or telling me lol

jimthompson5910 (jim_thompson5910):

what do you mean

OpenStudy (anonymous):

Nvm. Was my answer wrong .

jimthompson5910 (jim_thompson5910):

yes 1-cos^2 is not cos^2

OpenStudy (anonymous):

what is it ?

jimthompson5910 (jim_thompson5910):

do you know what I mean when I say "use the difference of squares rule"?

jimthompson5910 (jim_thompson5910):

if not, then something like 4 - x^2 turns into (2-x)(2+x) using that rule

OpenStudy (anonymous):

okay i seee what your saying. Iv been on this problem for an hour.

jimthompson5910 (jim_thompson5910):

so how does 1 - cos^2(x) factor

OpenStudy (anonymous):

(2+x)(1-x)

jimthompson5910 (jim_thompson5910):

no (2+x)(1-x) is just an example of how the difference of squares rule works

OpenStudy (anonymous):

This is confusing.

jimthompson5910 (jim_thompson5910):

have a look at this page http://www.purplemath.com/modules/specfact.htm

OpenStudy (anonymous):

Okay i looked at it

jimthompson5910 (jim_thompson5910):

so how would you factor 1 - cos^2(x)

OpenStudy (anonymous):

I didn't see any of those with cos in it only easy numbers.

jimthompson5910 (jim_thompson5910):

ok replace cos(x) with y to make things easier 1 - cos^2(x) turns into 1-y^2 which factors to ???

OpenStudy (anonymous):

(y+2)(y-2)

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

1-y^2 turns into 1^2-y^2 which factors to ???

OpenStudy (anonymous):

i give up idk

jimthompson5910 (jim_thompson5910):

don't give up take a break if you must, but definitely don't give up on it

OpenStudy (anonymous):

can we just skip this problem. and move on to another problem.

jimthompson5910 (jim_thompson5910):

ok I'll give you the next step 1 - cos^2(x) factors to (1-cos(x))(1+cos(x))

jimthompson5910 (jim_thompson5910):

I'm sure you see what to do from here

OpenStudy (anonymous):

ok what do i do next.

jimthompson5910 (jim_thompson5910):

well you now have (1-cos(x))(1+cos(x)) ------------------ 1-cos(x)

OpenStudy (anonymous):

ok then what ?

jimthompson5910 (jim_thompson5910):

what cancels

OpenStudy (anonymous):

1-cos?

jimthompson5910 (jim_thompson5910):

yep, leaving you with what

OpenStudy (anonymous):

@satellite73

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