Right Triangle Trigonometry
· What is soh-cah-toa and cho-sha-cao? · How do we find an unknown side length in a right triangle using trigonometric ratios ? First, we need to know what soh-cah-toa and cho-sha-cao means. SOH - Sine(sin)= opposite over hypotenuse CAH - Cosine(cos)= adjacent over hypotenuse TOA - Tangent(tan)= opposite over adjacent CHO - Cosecant(csc)= hypotenuse over opposite SHA - Secant(sec)= hypotenuse over adjacent CAO - Cotangent(cot)= adjacent over opposite Notice that soh-cah-toa and cho-sha-cao are the opposites of one another. Here's another example: \goldD B Let's focus on Angle B start color goldD, B, end color goldD since that is the angle that is explicitly given in the diagram. \goldD{50^{\circ}}\,\,\, 5 0 ∘ \purpleC{6} 6 \blueD{?} ? C C B B A A Note that we are given the length of the \purpleC{\text{hypotenuse}} hypotenuse start color purpleC, h, y, p, o, t, e, n, u, s, e, end color purpleC , and we are a