- lilsis76

Prove the identites are Equal
Sin A - cos A / sin A + cos A - sin A / cos A = 2 - sec A csc A

- katieb

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- lilsis76

|dw:1349291754923:dw| @hartnn this is the other problem.

- hartnn

write cos A - sin A as - (sin A-cos A)

- lilsis76

|dw:1349292009958:dw|

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## More answers

- 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

oh. haha. im sorry im very bad at this. im more of a visual learner. just a moment let me fix this.

- lilsis76

wait, i just realized, were talking about the far left fraction right?

- hartnn

middle.

- lilsis76

oka. let me try now

- lilsis76

|dw:1349292496553:dw|

- 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

but how is that possible that its a - cos A ? I dont see it

- hartnn

- (sin A-cos A) = -sin A -(-cos A) = -sin A +cos A = cos A -sin A

- lilsis76

|dw:1349292833969:dw|

- hartnn

ok , lets forget everything, lets go another way.
can u separate out the denominator ?

- hartnn

like (a+b)/c = a/c + b/ c

- 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

absolutely correct!
whats sin A/ sin A =?
and cos A/cos A = ?

- lilsis76

there going to equal 1

- hartnn

so u got 2 right ?

- lilsis76

what? well if u add them 1 + 1 = that makes 2

- hartnn

yes. now u are left with -cos A/sinA -sinA/cos A
cross multiply again, same as previous problem

- lilsis76

|dw:1349293671738:dw|

- hartnn

which is ?

- lilsis76

which is 1

- hartnn

-(sin^2x + cos^2 x) = -1

- lilsis76

oh shoot. thats right... okay
because it was a negative the answer will be negative too.

- lilsis76

okay i got the same answer too

- hartnn

what was left in the denominator

- lilsis76

|dw:1349293889401:dw|

- lilsis76

Okay this is what i have so far. I like to put things in steps.

- hartnn

|dw:1349294146174:dw|
see this.

- hartnn

makes sense ?

- 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

it came from sinx/sin x + cosx / cos x = 1+1 = 2

- lilsis76

okay, ya thats what i thought :)

- lilsis76

now how can we get rid of that - 1 ?

- hartnn

|dw:1349294542963:dw|
what is 1/sin a and 1/ cos a ?

- lilsis76

the 1/ sin a = the inverse of cos. that is csc
and 1/ cos a = is the inverse of sine sec

- hartnn

|dw:1349294713780:dw|
got it ?

- lilsis76

i got it..............man WHAT THE HEY?! why is this so complicating?!

- 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

3 tips:
1. practice.
2. more practice.
3. more and more practice.
want 4th ? :P

- 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

have patience, you will understand someday. else i will be there to help u.

- lilsis76

okay then. Thank you for helping me out. Im going to work on english. Have a good day.

- hartnn

think positive, think u like math.
u also have a good day, i will have good night :)

- lilsis76

|dw:1349295088469:dw|

- hartnn

|dw:1349295140875:dw|

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