Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24. Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios.

sin(
) = Twelve-thirteenths

tan(
) =

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x, y,z) = (1,-x, z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)