Right Triangles and Trigonometry

part 7- Right Triangles & Trigonometry For the right triangle pictured: Pythagorean Theorem SOHCAHTOA sin A = = _ OPP _ a a2 + 62 = c2 hyp sin-1 (2) = LA B COS A : adj b hyp C cos -1 " ) = LA a tan A = - ddo a adj tan -1 () = LA A b Find the value of the trig function expressed as a fraction and find the value of the angle to the nearest degree.. 39) 40) R 13 5 4 S 12 3 B sin S = sin A = cos S = COS A = tan S = tan A = MLS = MLA = Using Trigonometric Equations X 12.6 cm Z 38 Example: Find the length of YZ. cos Z = adj. leg XZ hyp. YZ YZ is the hypotenuse. You are given XZ, which is adjacent to the given angle, LZ. COs 38 = 12.6 YZ Since the adjacent side and hypotenuse YZ = _ 12.6 are involved, use a cosine ratio. COs 38 YZ ~ 15.99 cm 41) Solve for the value of x. Round to the nearest hundredth. 11 ft 460 G