Math Is Fun Forum

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

.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

Website

Re: Trig Problem

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

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Trig Problem

What is PT?

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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.

zetafunc

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Registered: 2014-05-21

Posts: 2,436

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Re: Trig Problem

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

Yes, it's that one.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Trig Problem

^ is missing.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
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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"?

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

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?

dazzle1230

Member

Registered: 2016-05-17

Posts: 92

Re: Trig Problem

thanks for the help! I got it