I still don't get tangent and sine ratios!?

Question

http://hotmath.com/help/solutions/cpmg02/7/3/Classwork/cpmg02_7_3_Classwork_T-27_267/index.html

Answer 1

The basic trig functions are all ratios, that occur in any right triangle on a flat (euclidean) plane. These ratios depend only on the angle, not on the size or orientation of the triangle.
Triangles have three angles, and the right triangle has a right angle and two acute angles. Choose either of these acute angles and stick with it. Let's call it angle A.
Then the side opposite to A and the side adjacent to A form a ratio known as tangent.
For example, consider a right iscocolese triangle,
with angles 45*, 45*, and 90*. You know that an iscoclese triangle has two equal sides, and the ratio of anything to itself is 1, so the tangent of 45 is 1.
A picture is worth a thousand words, there are good websites that explain this with good graphics and some even have animation.
http://www.clarku.edu/~djoyce/trig/
http://id.mind.net/~zona/mmts/trigonometryRealms/trigonometryRealms.html
http://catcode.com/trig/index.html

Answer 2

Sin(angle) = Side on a triangle that is opposite of the angle / the hypotenuse

Tan(angle) = Opposite side / adjacent side