A resistor and an inductor connected in a series network impede the flow of an alternating current. This impedance Z is determined by the reactance X of the inductor and the resistance Rof the resistor. The three quantities, all measured in ohms, can be represented by the sides of a right triangle as illustrated, so z =x2 +R2. The angle o is called the phase angle. Suppose a series network has an inductive reactance of X= 800 ohms and a resistance of R=2000 ohms. (a) Find the impedance Z. (b) Find the valuės of the six trigonometric functions of the phase angle o.

A resistor and an inductor connected in a series network impede the flow of an alternating current. This impedance Z is determined by the reactance X of the inductor and the resistance Rof the resistor. The three quantities, all measured in ohms, can be represented by the sides of a right triangle as illustrated, so z =x2 +R2. The angle o is called the phase angle. Suppose a series network has an inductive reactance of X= 800 ohms and a resistance of R=2000 ohms. (a) Find the impedance Z. (b) Find the valuės of the six trigonometric functions of the phase angle o.

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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