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Use inverse functions where needed to find all solutions of the equation in the interval [0, 27). tan? x - 4 tan x - 5- 0

Use inverse functions where needed to find all solutions of the equation in the interval [0, 27). tan? x - 4 tan x - 5- 0

Trigonometry (11th Edition)
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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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use inverse functions where needed to find all solutions of the equation in the interval [0, 27T). tan? x - 4 tan x - 5 = 0 Step 1 Begin by treating the given equation as a quadratic in tan x and factor. tan? x - 4 tan x - 5 = 0 tan x+ 1 tan x - 5 = 0 tan(x)+ 1 Step 2 Set each factor equal to zero. Use the inverse tangent function to obtain the solutions in the interval (0, 27). (Enter your answers as a comma-separated list.) tan x +1 = 0 or tan x - 5 = 0 tan x = -1 or tan x = 5 Зл X = tan-(5) 4 Submit | Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use inverse functions where needed to find all solutions of the equation in the interval [0, 27T). tan? x - 4 tan x - 5 = 0 Step 1 Begin by treating the given equation as a quadratic in tan x and factor. tan? x - 4 tan x - 5 = 0 tan x+ 1 tan x - 5 = 0 tan(x)+ 1 Step 2 Set each factor equal to zero. Use the inverse tangent function to obtain the solutions in the interval (0, 27). (Enter your answers as a comma-separated list.) tan x +1 = 0 or tan x - 5 = 0 tan x = -1 or tan x = 5 Зл X = tan-(5) 4 Submit | Skip (you cannot come back)
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