A circle has a radius of 3 meters centered at the origin Det

A circle has a radius of 3 meters centered at the origin. Determine the measure of the angle (in radians) swept out counter-clockwise from the 3 o\'clock position (the ray that connects (0, 0) and (3, 0)) and the indicated point. a. (1.361, 2.674) meters e-= -3 05988850531 b (-0.589, 0.808) radii |x radians | Preview = 2.13647782941 radians Preview c. (2.809, 1.052) meters =[-058326554871 \" radians Preview d. (0.378, -0.926) radii 381523691278 -radians Preview tphp actioneskip&tos; 10

Solution

a) tan(theta) = y/x ---- Ist quadrant

= (2.674)/(1.361) = 1.9647

theta = 1.099987 radians

c) ( -2.809 , -1.052) ---- III rd quadrant

theta = pi+ tan^-1(1.052/2.809) = 3.499934 rad

d) (0.378 , -0.926) ----- IVrth quadrant

theta = 2pi - tan^-1(0.926/0.378) = 5.09995 rad