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From: Axel Vogt on 29 Jul 2010 15:32
William Elliot wrote:
> What are the solutions to the equations
>
> sin^-1 x = 1/sin x,
>
> cos^-1 x = 1/cos x?

sin(x)*arcsin(x) takes any value between 0 (x=0) and
sin(1)*Pi/2 (x=1) and is symmetric in 0.

What is the reason you ask for the only integer solution?
From: José Carlos Santos on 29 Jul 2010 18:22
On 29-07-2010 12:33, Bart Goddard wrote:

>>> What are the solutions to the equations
>>>
>>> sin^-1 x = 1/sin x,
>>
>> Obviously, it has one and only one solution, namely 0.
>>
>>> cos^-1 x = 1/cos x?
>>
>> It has one and only one solution, around 0.739085. I doubt that it is
>> "nice" number.
>
> I think you're misreading.

You are right. I was thinking about the equations arcsin(x) = sin(x)
and arccos(x) = cos(x).

Best regards,

Jose Carlos Santos
From: William Elliot on 30 Jul 2010 01:12
On Thu, 29 Jul 2010, Axel Vogt wrote:
> William Elliot wrote:
>> What are the solutions to the equations
>>
>> sin^-1 x = 1/sin x,
>>
>> cos^-1 x = 1/cos x?
>
> sin(x)*arcsin(x) takes any value between 0 (x=0) and
> sin(1)*Pi/2 (x=1) and is symmetric in 0.
>
> What is the reason you ask for the only integer solution?
>
Where did I ask that?
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