... triangle ABC|BC| length of line segment BCAB the arc of a circle between points A and B103 Trigonometry Problems1Trigonometric FundamentalsDefinitions of Trigonometric Functions in Terms ... =|OP||PQ|,cos θ =|OQ||OP|, sec θ =|OP||OQ|,tan θ =|PQ||OQ|, cot θ =|OQ||PQ|.2 103 Trigonometry ProblemsFirst we need to show that these functions are well defined; that is, they ... so triangle ABDis equilateral. Hence, |AD|=|AB| and |AC|=|AD|2. Because ABC is a right4 103 Trigonometry Problemstriangle, |AB|2=|AC|2+|BC|2.Sowehave|BC|2=|AB|2−|AB|24=3|AB|24,or...