Verify Trigonometric Identity: 2/cosx = 2secx | Doubtful Answer?

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SUMMARY

The discussion centers around the verification of the trigonometric identity 2/cos(x) = 2sec(x). Participants confirm that the identity holds true, as sec(x) is defined as 1/cos(x). The conversation also humorously diverges into playful banter about a miswritten function, sex(x), which is a typographical error for sec(x). Ultimately, the identity is established as valid, reinforcing the foundational definitions of trigonometric functions.

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  • Understanding of trigonometric functions, specifically secant and cosine
  • Familiarity with basic trigonometric identities
  • Knowledge of mathematical notation and terminology
  • Ability to perform algebraic manipulations involving trigonometric expressions
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  • Explore advanced trigonometric identities and their proofs
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Students studying trigonometry, educators teaching mathematical concepts, and anyone interested in verifying trigonometric identities and understanding their applications.

Mozart
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Hello, I just worked out a trigonometric identity, and got an answer of 2/cosx=2secx I am doubting that the two equal each other but it is what I keep on getting. Some verification would be much appreciated. Thanks.
 
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how could they NOT be equal, since it is the DEFINITION of sec(x) that sec(x) = 1/cos(x).
 
YES HAHAHA I FINALLY GOT ONE RIGHT. I RULE!


Oh yes. Where are my manners. Thank you, you sexy quasar you.

By the way the question was an actual question. You know one of those thingys you probably did in high school where they give you something like blah blah blah= blah bla blah and prove it n' such.
 
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Mozart said:
YES HAHAHA I FINALLY GOT ONE RIGHT. I RULE!


Oh yes. Where are my manners. Thank you, you sexy quasar you.
That's two you got right. :wink:
 
Lol. I think this is the quickest question ever.
 
quasar987 said:
how could they NOT be equal, since it is the DEFINITION of sec(x) that sec(x) = 1/cos(x).
One possible definition. It would be better to say sec(x)cos(x)=1 is a well known identity.
 
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lurflurf said:
One possible definition. It would be better to say sex(x)cos(x)=1 is a well known identity.

I didn't realize that variables had gender :wink:
 
lurflurf said:
It would be better to say sex(x)cos(x)=1

sex(x) is by far my favorite trig function, especially when evatuated at the point sex(quasar987).
 
quasar987 said:
sex(x) is by far my favorite trig function, especially when evatuated at the point sex(quasar987).

but whenever i put that into my calculator, i keep on getting "no solution."

:-p
 
  • #10
Hahah. Nice.

Wait I'll think of a come-back. :devil:
 
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  • #11
HAHAHAHA.. this thread is hilarious.
 
  • #12
quasar987 said:
sex(x) is by far my favorite trig function, especially when evatuated at the point sex(quasar987).
It is well known that sex(z) has an essential singularity at z=quasar987 and thus by Picard's Great Theorem sex assumes all values with at most one exception in every neighborhood of z=quasar987. In this case there is one exception. On this darn keyboard x is just left of c. I make that error far less often freehand. At least we know
sex(pi/2-x)=csx(x)
I wonder what sex(x)/csx(x) is. tax(x) or maybe tan^3(x)?
 
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  • #13
lurflurf said:
I make that error far less often freehand.

then you might want to consider taking your hand out of your pants once in a while.

:eek:
 
  • #14
Brad Barker said:
quasar987 said:
Originally Posted by quasar987
sex(x) is by far my favorite trig function, especially when evatuated at the point sex(quasar987).

but whenever i put that into my calculator, i keep on getting "no solution."

:-p

Funny how it is defined for sex(Brad Barker + lurflurf) though.

:-p
 
  • #15
quasar987 said:
Funny how it is defined for sex(Brad Barker + lurflurf) though.

:-p

it's defined as "hott." :!)



:-p
 
  • #16
eww, lurflurf's a guy dude.
 

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