Consider sec(-5-7x) = 2√3. We wish to determine all solutions for this problem. First solve the equation for x without evaluating the inverse trigonometric function. What is the period of secant? List all values of in the interval [-π, π) such that sec(0) = 2√3. (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 sec (0) 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 separated by a comma. Remember to use [k] as appropriate..) X= 2√3 Of course, we are not really looking for values of 0, we are looking for values of x. Knowing that 0-5 - 7x, find all solutions for x. 0 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 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 sec(-5-7x) = 2√3
We wish to determine all solutions for this problem.
First solve the equation for x without evaluating the inverse trigonometric function.
What is the period of secant?
List all values of 0 in the interval [-T, π) such that sec(0)
(Notice the relationship between the period and the interval here.)
Now list ALL values of such that sec (0)
where k € Z.
(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.)
=
x=
= 2√3
2√3
The principle solution is a
=
(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 = -5- 7x, find all solutions for x.
0
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 separated by a
comma. Remember to use k as appropriate.)
Transcribed Image Text:Consider sec(-5-7x) = 2√3 We wish to determine all solutions for this problem. First solve the equation for x without evaluating the inverse trigonometric function. What is the period of secant? List all values of 0 in the interval [-T, π) such that sec(0) (Notice the relationship between the period and the interval here.) Now list ALL values of such that sec (0) where k € Z. (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.) = x= = 2√3 2√3 The principle solution is a = (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 = -5- 7x, find all solutions for x. 0 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 separated by a comma. Remember to use k as appropriate.)
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