lilsis76
  • lilsis76
Prove the identites are Equal Sin A - cos A / sin A + cos A - sin A / cos A = 2 - sec A csc A
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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lilsis76
  • lilsis76
|dw:1349291754923:dw| @hartnn this is the other problem.
hartnn
  • hartnn
write cos A - sin A as - (sin A-cos A)
lilsis76
  • lilsis76
|dw:1349292009958:dw|

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

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