Question 499465: Find all angles Beta between 0 and 360 degrees that satisfy the equation sin Beta = (-0.46). Give your answers in degrees. show your solutions on a unit circle.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find all angles Beta between 0 and 360 degrees that satisfy the equation sin Beta = (-0.46). Give your answers in degrees. show your solutions on a unit circle.
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The sin is negative in quadrants III and IV, so we must find the reference angles in these two quadrants.
Using a calculator to find the inverse of sin(0.46):
arcsin(.46)=27.39º
180+27.39=207.39º
360-27.39=332.61º
Ans:
207.39º and 332.61º
..
Sorry, I don't have the means to draw the angles on a unit circle.
It might help to remember that the one side of the reference angle is always the x axis, that is, it is the angle the terminal side makes with the x-axis.
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