Math Is Fun Forum

juantheron

Member

Registered: 2011-10-19

Posts: 312

Trigonometric equation

Prove that  equation

has

solution when

and

solution when

where

Bob

Administrator

Registered: 2010-06-20

Posts: 10,583

Re: Trigonometric equation

Use the graph plotter on the main site to make

Y equals sec x plus cosec x

And consider lines y equals c.

You will need to prove your graph has that shape.

Bob

Last edited by Bob (2012-01-23 07:27:08)

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Children are not defined by school ...........The Fonz
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John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Trigonometric equation

My calculator from the dollar store points to the fact that 45 degrees (known as pi over 4) makes c squared=8 exactly.
All other values appear to have c squared larger than 8, but this is just silly math ofcourse.  The calculator is just a sampling of inaccurate values!

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igloo myrtilles fourmis

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Trigonometric equation

So I suppose you could assume there are y = x and y = -x, which point to the 45 degree (pi over 4) mark in each of the four quadrants, making four answers where c = +/- the sqRoot of 8, about 2.82842 rounded upward with the next digit.

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igloo myrtilles fourmis