Question 1071446
.
solve the equation for x, where o<=x<=360.
sin(3x)+ 2=1.5
~~~~~~~~~~~~~~~~~~~~~~


<pre>
sin(3x) + 2 = 1.5  --->

sin(3x) = -0.5  --->


3x = 210°  or/and  3x = 330°.

--->  x = 70°  or/and  x = 110°.


But also  

1)  3x = 210+ 360° = 570°  or/and  3x = 330° + 360° = 690°,   which gives 

    x = {{{570/3}}} = 190°   or/and  x = {{{690/3}}} = 230°.


and


2)  3x = 210+ 720° = 930°  or/and  3x = 330° + 720° = 1050°,   which gives 

    x = {{{930/3}}} = 310°   or/and  x = {{{1050/3}}} = 350°.


<U>Answer</U>.   The solutions are 70°,  110°,  190°,  230°,  310°  and 350°.
</pre>


{{{graph( 330, 330, -1.5, 6.5, -1.5, 1.5,
          sin(3x), -0.5
)}}}


Plot y = sin(3x) &nbsp;(red)  &nbsp;and &nbsp;y = {{{-1/2}}} &nbsp;(green)



The solution by "josgarithmetic" is &nbsp;&nbsp;<U>W&nbsp;R&nbsp;O&nbsp;N&nbsp;G</U>.



---------------------------------------------
"josgarithmetic", &nbsp;you are mathematically illiterate person.


I prove it to you and to all others in this site just hundreds of times.


What are you doing in this forum &nbsp;&nbsp;?&nbsp;?


Do not shame this forum &nbsp;!&nbsp;!&nbsp;!


OK, &nbsp;I know what you can do here: &nbsp;the problems on the slope, &nbsp;intercepts . . . 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;What else ???


You absolutely do not fit as a tutor neither for word problems, nor for trigonometry.


Please do not touch that areas and that problems where you are not competent !



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