Solve Secx=-5.2 | Find Solutions for x Between 0 and 2π

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In summary, the conversation involves two individuals discussing their solutions to the equation secx=-5.2 and confirming that both of their answers, 1.76 and 4.52, are correct. The second individual also shares their approach for finding the second solution, which involves using the fact that cos(-x) = cos(x) and cos(x) = cos(x + 2kπ). They determine the second solution to be -1.76 + 2π.
  • #1
dragon513
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Q. Solve: secx=-5.2
x is greater than or equal to zero and less than or equal to 2π

I got 1.76 and 4.52, but answer key only has 1.76.

Am I not right?
 
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  • #2
I find the same answers as you do when I do a quick check using my TI-89. Hmmm :confused:
 
  • #3
dragon513 said:
Q. Solve: secx=-5.2
x is greater than or equal to zero and less than or equal to 2π
I got 1.76 and 4.52, but answer key only has 1.76.
Am I not right?
Yup, that looks good to me. :smile: Your answer is correct!
 
  • #4
Thank you!
 
  • #5
dragon513 said:
Thank you!
Once you had the first solution 1.76, how did you find the 2nd one?
 
  • #6
Since you have cos(-x) = cos(x), and [itex]\cos x = \cos (x + 2k \pi) \ \ , k \in \mathbb{Z}[/itex]
So the second one is just:
[tex]- 1.76 + 2 \pi = 4.52[/tex]
 
  • #7
Thanks for answering, but I was asking dragon513.
dragon513, what was your approach for finding the 2nd angle?
 

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