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Mathematics 22 Online
OpenStudy (anonymous):

trig help guys!

OpenStudy (anonymous):

OpenStudy (cwrw238):

i cat read the first one very well is it cos^2x cc^2x + cos^2x sec^2x = csc"2x ?

OpenStudy (cwrw238):

thats csc^2 x not cc^2 x

OpenStudy (anonymous):

@cwrw238 it's cos^2x csc^2x+cos^2x+sec^2x=csc^2x

OpenStudy (cwrw238):

ok lets try converting LHS to sin's and cos: cos^2x * 1 / sin^2x + cos^2x / cos^2 x = tan^2 x + 1 csc^2 x = 1 + tan^2 x is a known identity so the answer to this one is it is an identity and we have proved it as above

OpenStudy (cwrw238):

I think you have inserted a '+' in your last post

OpenStudy (anonymous):

@cwrw238 ooh yes it's wrong, it does not have a plus sign, your right

OpenStudy (cwrw238):

do you follow the proof i gave?

OpenStudy (anonymous):

i'm looking over it, why did you put a "*"? I know it's multiply, but why..

OpenStudy (cwrw238):

csc = 1 / sin I multiplied by 1 / sin

OpenStudy (anonymous):

@cwrw238 ooooh okay thank you!

OpenStudy (cwrw238):

ooh - i made 1 mistake for tan^2 x read cot^2 x the identity is csc" x = 1 + cot^2 x

OpenStudy (cwrw238):

the third one is a bit tricky there is a known identity tan( A + B) = tanA + tan B ----------- 1 + tan A tan B

OpenStudy (cwrw238):

now since cot (A + B) = 1 / tan(A + B) inverting the above cot(A + B) = 1 + tan A tan B ------------- tan A + tan B so this is not correct - not an identity

OpenStudy (cwrw238):

- that makes no difference to the proof - its still correct - just substitute cot where you see tan.

OpenStudy (anonymous):

@cwrw238 I put not an identity

OpenStudy (cwrw238):

hold on you put not an identity for which one?

OpenStudy (anonymous):

@cwrw238 for3

OpenStudy (cwrw238):

thats correct correct

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