Trigonometric Equation

jaykee07

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Jul 4, 2019
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1
How can i solve this equation : sin(0.5x - π /3) = -0.1

My solution is attached. Is it correct?
 

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Dr.Peterson

Elite Member
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Nov 12, 2017
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5,067
You don't appear to have actually taken the inverse sine; you only mentioned it.

If you had evaluated \(\displaystyle \sin^{-1}(-0.1)\), most of your work would have been appropriate.
 

Dr.Peterson

Elite Member
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Nov 12, 2017
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Looking again, I realize you did take the inverse sine; since you are working in radians, you got -0.10016742, which you then rounded to -0.1, so it looked as if you had not. (Your notation, with the vertical bar, is unfamiliar to me.)

On the other hand, you then made a mistake I didn't notice before (because I was only looking at the general ideas). The two possible angles are -0.10016742 and pi - (-0.10016742), which is 3.24176, not 3.04. Then you made some calculation error for the first solution, which I can't figure out. (You calculated correctly on the second, which was already wrong.)
 

topsquark

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Joined
Aug 27, 2012
Messages
520
How can i solve this equation : sin(0.5x - π /3) = -0.1

My solution is attached. Is it correct?
I must say it's rather refreshing to see an image posted that is readable. Thank you! :giggle:

-Dan
 
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