Trigonometric functions example) and another of the sides remains the same. If the hypotenuse is twice as long, so are the sides. It is these ratios that the trigonometric functions express. To define the trigonometric functions for the angle "A", start with any right triangle that contains the angle "A". The three sides of the triangle are named as follows: In ordinary Euclidean geometry, according to the triangle postulate, the inside angles of every triangle total 180° ( radians). Therefore, in a right-angled triangle, the two non-right angles total 90° ( radians), so each of these angles must be in the range
120-gon as 44 compound star figures with the same vertex configuration. 120-gon In geometry, a 120-gon is a polygon with 120 sides. The sum of any 120-gon's interior angles is 21240 degrees. Alternative names include dodecacontagon and hecatonicosagon. A "regular 120-gon" is represented by Schläfli symbol {120} and also can be constructed as a truncated hexacontagon, t{60}, or a twice-truncated triacontagon, tt{30}, or a thrice-truncated pentadecagon, ttt{15}. One interior angle in a regular 120-gon is 177°, meaning that one exterior angle would be 3°. The area of a regular 120-gon is (with ) and its inradius is The circumradius of a