sin, cos and tan are used in trigonometry and to calculate angles in right angle triangles
in a right angle triangle there is the hypotenuse, opposite and adjacent
sin= O/H
cos=A/H
tan=O/A
the slash being the dividing thingy, dont know wat its called :P
there are also certain formulas where u can work out angles, and length of sides, etc such as the sine rule and the cos rule
if you want a more detailed answer its best if you look it up in a maths textbook because you cant draw pictures with this wiki answer thing
in pratical applications it can be used to determine a ships bearing (location from a certain point, i.e lighthouse or dock) , inclined planes in engineering
dont worry trigonometry is very useful and theres a reason why its being taught
Check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!
http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html
http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html
http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html
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To show that (cos tan = sin) ??? Remember that tan = (sin/cos) When you substitute it for tan, cos tan = cos (sin/cos) = sin QED
'csc' = 1/sin'tan' = sin/cosSo it must follow that(cos) (csc) / (tan) = (cos) (1/sin)/(sin/cos) = (cos) (1/sin) (cos/sin) = (cos/sin)2
(sin(x)cot(x) - cos(x))/tan(x)(Multiply by tan(x)/tan(x))sin(x) - cos(x)tan(x)(tan(x) = sin(x)/cos(x))sinx - cos(x)(sin(x)/cos(x))(cos(x) cancels out)sin(x) - sin(x)0
The definition of tan(x) = sin(x)/cos(x). By this property, cos(x)tan(x) = sin(x).
The identity for tan(theta) is sin(theta)/cos(theta).