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LOOKING AT TRIGONOMETRY A COMMON SENSE APPROACH
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. 
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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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