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 writeall of your solutions in a comma-separated listwith no spaces. Where possible, your answersshould be fully condensed.sec^2(x)=2tan^2(x)sec? x = 2 tan² xusing1+tan^2(x)=sec^2(x),+ Tn, + an31+ πη41+tan^2(x)=2tan^2(x)1=2tan^2(x)-tan^2(x}1=tan^2(x)tan(x)=+-1tan(x)=1pi/4pi/4+pintan(x)=-1 3pi/4+pinx=3pi/4 Gosec x= 2tanxSyGraph » Examples »RelateSolutionKeep Practicing >Show Stepssec (x) = 2tan (x) :3% + 2nn, x =+ 2nn, x = + 2nn, x =4(Degrees:X=+ 2nnStepssec" (x) = 2tan (x)Subtract 2tan (x) from both sidessec (x) – 2tan? (x) = 0Show Stepssec (x) – 2tan (x): (sec(x) + v7 tan(x))(sec(x) – v7 tan(x))(sec(x) + v7 tan(x)(sec(x) – v7 tan (x)) = 0Solving each part separatelysec(x) + v2 tan(x) = 0or sec(x) – v7 tan(x) = 0Show Stepssec (x) + v7 tan(x) = 0 := 31 + 2nn, x=+ 2nnShow Steps Osec (x) – v7 tan(x) =0 :x=+ 2nn, x= 3 + 2nnCombine all the solutions= + 2an, x= * + 2nn, x= + 2nn, x=+ 2nnX=

Name: I got these for solutions, but symbolab (second image) got different
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Description: 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 writeall of yo

To solve the trigonometric equation: sec2x=2tan2x

Answered: Solve the following trig equation. Be…

Math

Advanced Math

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

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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

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=

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