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#1 2016-07-25 09:33:12

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Trig Problem

Explain why we must have

for any
such that
is not an integer multiple of
.

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#2 2016-07-25 09:46:04

zetafunc
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Registered: 2014-05-21
Posts: 2,432
Website

Re: Trig Problem

Express cot and csc in terms of sin and cos, then reduce it to a well-known trig identity.

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#3 2016-07-26 11:19:58

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Re: Trig Problem

does the trig identity have to do with PT:
sin2(t) + cos2(t) = 1

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#4 2016-07-26 12:19:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Trig Problem

What is PT?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-07-26 21:07:26

zetafunc
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Registered: 2014-05-21
Posts: 2,432
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Re: Trig Problem

dazzle1230 wrote:

does the trig identity have to do with PT:
sin2(t) + cos2(t) = 1

Yes, it's that one.

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#6 2016-07-26 22:29:50

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Trig Problem

^ is missing.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#7 2016-07-27 08:48:58

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Re: Trig Problem

But how do I show " for any x such that x is not an integer multiple of 180"?

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#8 2016-07-27 09:43:52

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: Trig Problem

Suppose you had started with
then divided through by
to obtain your trig identity. What condition must you impose so that this operation is valid?

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#9 2016-07-27 13:05:20

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Re: Trig Problem

thanks for the help! I got it

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