Consider tan (3/I – 5) = -1. We wish to determine all solutions for this problem. First solve the equation for a without evaluating the inverse trigonometric function. I = What is the period of tangent? List all values of 0 in the interval (-÷, 5) 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 0 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 comma. Remember to use [k] as appropriate..) Of course, we are not really looking for values of 0, we are looking for values of z. Knowing that 0 = 3VT – 5, find all solutions for T. where ke 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.) The principle solution is a =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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Consider tan(3/T – 5) = -1.
We wish to determine all solutions for this problem.
First solve the equation for a without evaluating the inverse trigonometric function. I =
What is the period of tangent?
List all values of 0 in the interval (-5,5) 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 0 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 ſk] as appropriate.)
Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0 = 3VT – 5, find all solutions for T.
T.
where ke 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.)
The principle solution is a =
Transcribed Image Text:Consider tan(3/T – 5) = -1. We wish to determine all solutions for this problem. First solve the equation for a without evaluating the inverse trigonometric function. I = What is the period of tangent? List all values of 0 in the interval (-5,5) 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 0 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 ſk] as appropriate.) Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0 = 3VT – 5, find all solutions for T. T. where ke 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.) The principle solution is a =
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