Angles and arc length, trigonometric functions of a general angle, trigonometric functions of an agute angle, table of trigonometric functions- solucions of right triangles, practical applications, logaritms, logarithmic solution of right triangles, reduction to functions of acute angles,variations and graphs of the trigonometric funtions, fundamental relations and identitiles, trigonometric funcionens of two angle, sum difference and product formulas, obleque triangles non- logarithmic solution, logarithmic solution of obligue triangles, areas radii of inscribed and circumscribed circles, inverse trigonometric funtions, trigonometric equations, complex numbers, topics from solid geometry, righ spherical triangles, oblique spherical triangles-standard solutios, oblique spherical triangles- alternate solutions, course and distance, the celestial sphere