Trigonometry Problem

  • #1

Homework Statement


Solve for x
2sinx= 3x2 + 2x + 3[/B]

Homework Equations


Lowest value of quadratic function = -D/4a (D= Discriminant)

The Attempt at a Solution


I have no idea how to do it
 

Answers and Replies

  • #2
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11,510
Did you draw a sketch?
I think there is some error in the problem statement.
 
  • #3
RUber
Homework Helper
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Based on your entry for #2, relevant equations, what do you know about the lowest value of the quadratic function? What is the range of 2sinx? As to mfb's point, these may be inconsistent.
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
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This equation has a transcendental function equal to a polynomial. In general, there is no simple way to solve such problems. You will need to use a numerical method. (Such equations can be solved using "Lambert's W function" which is defined as the inverse function to [itex]xe^x[/itex] but converting sine to exponentials will introduce complex numbers so I would not be inclined to try that.)
 

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