Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
February 05, 2014 7-4 Trigonometry Trigonometry (Trig): *The study of triangle measurement. *A way to find the length or angle measures for triangles. Trigonometric Ratio (Trig Ratio): *A ratio of the lengths of sides. *Three most common trig ratios are 1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) *The ratios relate to the acute angles in a right triangle A leg opposite to angle B leg adjacent to angle A hypotenuse B leg opposite angle A C leg adjacent to angle B sin = opp hyp cos = adj hyp tan = opp = adj = = 7-4 Trigonometry leg opposite of angle hypotenuse leg adjacent to angle hypotenuse leg opposite of angle leg adjacent to angle February 05, 2014 7-4 Trigonometry Trig ratios will also be used to find angle measures. Watch how you use your calculator. CHECk YOUR MODE!!!!!!! Example 1 Find sin L, cos L, tan L, sin N, cos N, tan N. Express each ratio as a fraction and as a decimal to the nearest thousandth. sin L sin N cos L cos N tan L N 8 M 17 15 tan N Example 2 Express each ratio as a fraction. X 35 tan Z = sin X = 21 cos Z = Z Y 28 Example 3 Express each ratio as a fraction. 30 A B cos C = sin A = 34 16 C tan C = L February 05, 2014 7-4 Trigonometry Example 4: Find each value to the nearest ten thousandth. a. tan 56 b. cos 89 Example 5 Solve for the variable A.) sin B = 0.4848 B.) cos W = 0.6157 C.) tan x = 0.5317 Example 5 Z Find each angle measure and round to the nearest hundreth. 40 32 Y 24 X