Let's   take   a   common   sense   approach   looking   at   right   angle   triangles and   how   trigonometry   is   used.   Every   book   you   learned   from   probably dealt   with   terms   like   side   adjacent,   side   opposite,   etc.   etc...   Well I   am   going   to   use   easy   terms   like   longer   leg,   larger   angle   and   so on.   Sorry   you   will   still   have   to   know   what   the   hypotenuse   is. Remember that it is the longest side of a right angle triangle.
NOTICE   THESE   THINGS :   The   term   larger   angle   means   larger   than   the smaller   not   larger   than   the   90   degree   angle.   The   90   degree   angle   is always   the   largest   angle   of   the   three.   The   larger   angle    and   the smaller   angle    added   together   always   equal    90   degrees.   The   Legs   (Shorter   and   Longer)   are   always   next    to   the   90   degree   angle.   The Hypotenuse    is   on   the   opposite   side    of   the   90   degree   angle   and   next   to the   smaller   and   larger   angle.   Notice   how   the   shorter   leg    is   opposite the   smaller   angle    (Makes   sense   doesn't   it?),   and   the   longer   leg    is opposite   the   larger   angle .   One   more   thing,   if   the   smaller   or   the larger   angle   is   equal   to   45   degrees   then   we   cannot   call   them   larger or   smaller   because   they   will   be   the   same   size.   We   will   have   an isosceles   right   angle   triangle.   No   wonder   the   tangent   of   45   degrees is equal to one (the legs will be a one to one ratio to each other).
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