Check this for me involving sin theta

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For sin theta = -0.4321 within the range 0 <= theta <= 2pi, there are two possible solutions. The solutions are located in the third and fourth quadrants. The reference angle is incorrectly stated as -26 degrees; it should be expressed as a positive angle. The correct solutions for theta are approximately 206 degrees and 334 degrees. The discussion confirms that the solutions provided are accurate, but clarification on the reference angle is needed.
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Check this for me please involving sin theta

For sin theta= -0.4321, 0<=theta<=2pi

QUESTIONS

a) How many solutions are possible?
b)In which quadrants would you find the solutions?
c)Determine the reference angle for this equation to the nearest degree.
d) Determine all the solutions to the equation to the nearest degree

MY ANSWERS

a) 2
b) quadrants 3 and 4
c)-26 degrees (im not sure if the negative should be there)
d)solutions theta=334 degrees and theta=206 degrees

Can someone please check to see if I am on the right track please
 
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I don't know what they mean by reference angle (you may want to consult the book),but the rest looks perfect to me...:smile: :wink:

Daniel.
 
Thanks does anyone know if the reference angle is correct or not if its not then the solutions should be wrong too :approve:
 
The solutions (point "d") are correct,no doubt about it...:wink:

Daniel.
 
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