I dont know if this counts as philosophy, but I already understand how to do trigonometry. I was just wandering, if someone asked me what means, what would I say?

Its the ratio of two certain sides of a right triangle, o and a?

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- Dec 9th 2012, 04:30 PMNervousWhat is a trig function?
I dont know if this counts as philosophy, but I already understand how to do trigonometry. I was just wandering, if someone asked me what means, what would I say?

Its the ratio of two certain sides of a right triangle, o and a? - Dec 9th 2012, 09:41 PMProve ItRe: What is a trig function?
My ancient greek is a bit rusty, but I believe that "sine" means "perpendicular".

If you drew a unit circle and drew in the radius, an angle is formed with the positive x axis. If you then drew in a line segment from the edge of the radius on the circumference to the x-axis, then this length is the sine of the angle, because it's perpendicular to the x axis. - Dec 10th 2012, 05:03 AMNervousRe: What is a trig function?
So, it's the length of the side opposite theta, as a function of theta?

If I had a unit circle, made a triangle with a 45 degree angle, the length of the side opposite that angle would be sin(45)? - Dec 10th 2012, 04:54 PMProve ItRe: What is a trig function?
Correct.

- Jan 7th 2013, 03:40 PMElusive1324Re: What is a trig function?
Being a function, it relates two sets - in this case a set of numbers taken to be the angle and a set of numbers taken to be the ratio of o and a. For sin(x), you can answer with this interpretation: the function relates the angle x (for any real 'x'), formed by the radius and the x-axis, to a ratio (the ratio is as Prove It and you have already noted).

- Jan 20th 2013, 01:23 PMtom@ballooncalculusRe: What is a trig function?
Just bumping this over the spam