A two-dimensional robot arm "knows" where it is by keeping track of a "shoulder" angle a and an "elbow" angle B. As shown in the figure, this arm has a fixed point of rotation at the origin. The shoulder angle is measured counterclockwise from the x-axis, and the elbow angle is measured counterclockwise from the upper arm to the lower arm. Suppose that the upper and lower arms are both of length 2 and that the elbow angle B is prevented from "hyperextending" beyond 180°. Find the angles a and ß that will position the robot's hand at the point (1, 2). (Round your answers to two decimal places.) a =

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A two-dimensional robot arm "knows" where it is by keeping track of a "shoulder" angle a and an "elbow" angle ß. As shown in the figure, this arm has a fixed point of rotation at the origin. The shoulder angle is
measured counterclockwise from the x-axis, and the elbow angle is measured counterclockwise from the upper arm to the lower arm. Suppose that the upper and lower arms are both of length 2 and that the
elbow angle B is prevented from "hyperextending" beyond 180°. Find the angles a and ß that will position the robot's hand at the point (1, 2). (Round your answers to two decimal places.)
a =
еВook
Transcribed Image Text:A two-dimensional robot arm "knows" where it is by keeping track of a "shoulder" angle a and an "elbow" angle ß. As shown in the figure, this arm has a fixed point of rotation at the origin. The shoulder angle is measured counterclockwise from the x-axis, and the elbow angle is measured counterclockwise from the upper arm to the lower arm. Suppose that the upper and lower arms are both of length 2 and that the elbow angle B is prevented from "hyperextending" beyond 180°. Find the angles a and ß that will position the robot's hand at the point (1, 2). (Round your answers to two decimal places.) a = еВook
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