Solve the following trig equation. Be sure to write all of your solutions in a comma-separated list with no spaces. Where possible, your answers should be fully condensed. sec? x = 2 tan? x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

I got these for solutions, but symbolab (second image)  got different answers. Did I do the question right? I can't find anything wrong with the way I did it, I think I'm missing something.

 

 

Solve the following trig equation. Be sure to write
all of your solutions in a comma-separated list
with no spaces. Where possible, your answers
should be fully condensed.
sec^2(x)=2tan^2(x)
sec? x = 2 tan² x
using
1+tan^2(x)=sec^2(x),
+ Tn, + an
31
+ πη
4
1+tan^2(x)=2tan^2(x)
1=2tan^2(x)-tan^2(x}
1=tan^2(x)
tan(x)=+-1
tan(x)=1
pi/4
pi/4+pin
tan(x)=-1 3pi/4+pin
x=3pi/4
Transcribed Image Text:Solve the following trig equation. Be sure to write all of your solutions in a comma-separated list with no spaces. Where possible, your answers should be fully condensed. sec^2(x)=2tan^2(x) sec? x = 2 tan² x using 1+tan^2(x)=sec^2(x), + Tn, + an 31 + πη 4 1+tan^2(x)=2tan^2(x) 1=2tan^2(x)-tan^2(x} 1=tan^2(x) tan(x)=+-1 tan(x)=1 pi/4 pi/4+pin tan(x)=-1 3pi/4+pin x=3pi/4
Go
sec x= 2tanx
Sy
Graph » Examples »
Relate
Solution
Keep Practicing >
Show Steps
sec (x) = 2tan (x) :
3% + 2nn, x =
+ 2nn, x = + 2nn, x =
4
(Degrees:
X=
+ 2nn
Steps
sec" (x) = 2tan (x)
Subtract 2tan (x) from both sides
sec (x) – 2tan? (x) = 0
Show Steps
sec (x) – 2tan (x): (sec(x) + v7 tan(x))(sec(x) – v7 tan(x))
(sec(x) + v7 tan(x)(sec(x) – v7 tan (x)) = 0
Solving each part separately
sec(x) + v2 tan(x) = 0
or sec(x) – v7 tan(x) = 0
Show Steps
sec (x) + v7 tan(x) = 0 :
= 31 + 2nn, x=
+ 2nn
Show Steps O
sec (x) – v7 tan(x) =0 :
x=+ 2nn, x= 3 + 2nn
Combine all the solutions
= + 2an, x= * + 2nn, x= + 2nn, x=
+ 2nn
X=
Transcribed Image Text:Go sec x= 2tanx Sy Graph » Examples » Relate Solution Keep Practicing > Show Steps sec (x) = 2tan (x) : 3% + 2nn, x = + 2nn, x = + 2nn, x = 4 (Degrees: X= + 2nn Steps sec" (x) = 2tan (x) Subtract 2tan (x) from both sides sec (x) – 2tan? (x) = 0 Show Steps sec (x) – 2tan (x): (sec(x) + v7 tan(x))(sec(x) – v7 tan(x)) (sec(x) + v7 tan(x)(sec(x) – v7 tan (x)) = 0 Solving each part separately sec(x) + v2 tan(x) = 0 or sec(x) – v7 tan(x) = 0 Show Steps sec (x) + v7 tan(x) = 0 : = 31 + 2nn, x= + 2nn Show Steps O sec (x) – v7 tan(x) =0 : x=+ 2nn, x= 3 + 2nn Combine all the solutions = + 2an, x= * + 2nn, x= + 2nn, x= + 2nn X=
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,