Check this for me involving sin theta

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    Sin Theta
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Homework Help Overview

The discussion revolves around solving the equation involving sin theta, specifically for sin theta = -0.4321 within the interval 0 <= theta <= 2pi. Participants are exploring the number of solutions, the quadrants where solutions exist, the reference angle, and the specific solutions to the equation.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the number of possible solutions and their locations in the coordinate system. There is uncertainty regarding the definition and calculation of the reference angle, with some questioning the correctness of the original poster's answer.

Discussion Status

Some participants express confidence in the solutions provided, while others seek clarification on the reference angle, indicating a mix of agreement and uncertainty. The discussion is active, with participants checking each other's reasoning.

Contextual Notes

There is a mention of consulting a textbook for clarification on the reference angle, suggesting that some definitions or concepts may not be fully understood by all participants.

aisha
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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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