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#1 2007-08-21 03:18:19

tony123
Member
Registered: 2007-08-03
Posts: 228

sin(x radians) = sin(x degrees)

Find all real numbers x such that


Repeat for. cos x and tan x.

Last edited by tony123 (2007-08-21 06:01:55)

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#2 2007-08-21 04:05:58

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: sin(x radians) = sin(x degrees)

What does it mean for sin(x) = sin(y)?  I.e. find a relationship between x and y.  Then simply add on the addition restraint that x = pi*y/180.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#3 2007-08-21 13:41:29

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: sin(x radians) = sin(x degrees)

This reminds me of the minute and hour hand passing each other on a clock.
Like for 2 pi, you need to go 2pi + 6.29 degrees or so.
What am I saying?  Like 6.35 degrees and 6.35 radians maybe??
How about 12.7 radians and degrees??  Just guessing here.


igloo myrtilles fourmis

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#4 2007-08-21 13:49:21

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: sin(x radians) = sin(x degrees)

I just used google as a calculator and came up with
this after about ten iterations.
sin(12.78959) = 0.221370277
sin(12.78959 degrees) = 0.22137132
The first one is in radians.


igloo myrtilles fourmis

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