lilsis76
Prove the identites are Equal
Sin A - cos A / sin A + cos A - sin A / cos A = 2 - sec A csc A
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lilsis76
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|dw:1349291754923:dw| @hartnn this is the other problem.
hartnn
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write cos A - sin A as - (sin A-cos A)
lilsis76
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|dw:1349292009958:dw|
hartnn
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i asked u to write cos A - sin A as - (sin A-cos A)
u have written cos A - sin A as - (cos A + sin A)
..... -.- ....
lilsis76
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oh. haha. im sorry im very bad at this. im more of a visual learner. just a moment let me fix this.
lilsis76
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wait, i just realized, were talking about the far left fraction right?
hartnn
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middle.
lilsis76
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oka. let me try now
lilsis76
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|dw:1349292496553:dw|
hartnn
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i asked u to write cos A - sin A as - (sin A-cos A)
u have written cos A - sin A as - (sin A +cos A)
..... -.- ....
lilsis76
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but how is that possible that its a - cos A ? I dont see it
hartnn
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- (sin A-cos A) = -sin A -(-cos A) = -sin A +cos A = cos A -sin A
lilsis76
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|dw:1349292833969:dw|
hartnn
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ok , lets forget everything, lets go another way.
can u separate out the denominator ?
hartnn
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like (a+b)/c = a/c + b/ c
lilsis76
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i think i can, but it would be in 4 sections right?
like sin A / Sin A - cos A/sinA + cos A/cos A -sinA/cos A
hartnn
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absolutely correct!
whats sin A/ sin A =?
and cos A/cos A = ?
lilsis76
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there going to equal 1
hartnn
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so u got 2 right ?
lilsis76
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what? well if u add them 1 + 1 = that makes 2
hartnn
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yes. now u are left with -cos A/sinA -sinA/cos A
cross multiply again, same as previous problem
lilsis76
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|dw:1349293671738:dw|
hartnn
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which is ?
lilsis76
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which is 1
hartnn
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-(sin^2x + cos^2 x) = -1
lilsis76
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oh shoot. thats right... okay
because it was a negative the answer will be negative too.
lilsis76
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okay i got the same answer too
hartnn
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what was left in the denominator
lilsis76
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|dw:1349293889401:dw|
lilsis76
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Okay this is what i have so far. I like to put things in steps.
hartnn
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|dw:1349294146174:dw|
see this.
hartnn
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makes sense ?
lilsis76
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ya i see it, i under stand it but just forgot where the 2 came from.
it came from the 2 fractions that crossed each other out right?
hartnn
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it came from sinx/sin x + cosx / cos x = 1+1 = 2
lilsis76
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okay, ya thats what i thought :)
lilsis76
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now how can we get rid of that - 1 ?
hartnn
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|dw:1349294542963:dw|
what is 1/sin a and 1/ cos a ?
lilsis76
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the 1/ sin a = the inverse of cos. that is csc
and 1/ cos a = is the inverse of sine sec
hartnn
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|dw:1349294713780:dw|
got it ?
lilsis76
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i got it..............man WHAT THE HEY?! why is this so complicating?!
lilsis76
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do u have any advice for me to kind of remember what to do. Because I know what the inverse fractions look like and everything I just get stuck all the time.
hartnn
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3 tips:
1. practice.
2. more practice.
3. more and more practice.
want 4th ? :P
lilsis76
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really?!......I try doing more homework problems as practice and i get more confused. then i go to tutoring at school. ugH?! math hates my brain
hartnn
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have patience, you will understand someday. else i will be there to help u.
lilsis76
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okay then. Thank you for helping me out. Im going to work on english. Have a good day.
hartnn
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think positive, think u like math.
u also have a good day, i will have good night :)
lilsis76
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|dw:1349295088469:dw|
hartnn
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|dw:1349295140875:dw|