Consider tan (4√x-7)= -1. We wish to determine all solutions for this problem. First solve the equation for a without evaluating the inverse trigonometric function. x = What is the period of tangent? List all values of in the interval (-) such that tan(0) = -1. (Notice the relationship between the period and the interval here.) (List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only entry.) Now list ALL values of such that tan(0) = -1. ,where k E Z. (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separat comma. Remember to use [k] as appropriate..) Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0 = 4√ 7, find all solutions for X= where k € Z (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separat comma. Remember to use k as appropriate.) The principle solution is x = 1
Consider tan (4√x-7)= -1. We wish to determine all solutions for this problem. First solve the equation for a without evaluating the inverse trigonometric function. x = What is the period of tangent? List all values of in the interval (-) such that tan(0) = -1. (Notice the relationship between the period and the interval here.) (List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only entry.) Now list ALL values of such that tan(0) = -1. ,where k E Z. (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separat comma. Remember to use [k] as appropriate..) Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0 = 4√ 7, find all solutions for X= where k € Z (There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separat comma. Remember to use k as appropriate.) The principle solution is x = 1
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°.
Related questions
Question
![Consider tan (4√x-7)= -1.
We wish to determine all solutions for this problem.
First solve the equation for x without evaluating the inverse trigonometric function.x =
What is the period of tangent?
List all values of in the interval (-) such that tan(0) = -1.
(Notice the relationship between the period and the interval here.)
(List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only be one
entry.)
Now list ALL values of such that tan(0) = -1.
,where k E Z.
(There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a
comma. Remember to use [k] as appropriate..)
Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0= 4√7, find all solutions for a.
X =
where k EZ
(There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a
comma. Remember to use k as appropriate.)
The principle solution is a =
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e08cb41-5b2e-4118-8784-a24243109431%2Fecdec6e3-a6c1-44a4-accc-62f397140b48%2F22vjndn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider tan (4√x-7)= -1.
We wish to determine all solutions for this problem.
First solve the equation for x without evaluating the inverse trigonometric function.x =
What is the period of tangent?
List all values of in the interval (-) such that tan(0) = -1.
(Notice the relationship between the period and the interval here.)
(List all values in this answer box separated by a comma. Depending on the trig function and value, it is possible that there will only be one
entry.)
Now list ALL values of such that tan(0) = -1.
,where k E Z.
(There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a
comma. Remember to use [k] as appropriate..)
Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0= 4√7, find all solutions for a.
X =
where k EZ
(There will be a separate formula for each value you listed in the previous answer box. List each formula in this answer box separated by a
comma. Remember to use k as appropriate.)
The principle solution is a =
0
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