For sin(θ) = -0.4321, 0 ≤ θ ≤ 360°
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.

Question

For sin(θ) = -0.4321, 0 ≤ θ ≤ 360°
 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.

anonymous · Answer

Are you familiar with the use of the unit circle?

anonymous · Answer

a)  2 are possible. Take the line y=.4321, it hits the unit circle in two points.

anonymous · Answer

b) from a) 3RD AND 4TH

anonymous · Answer

y=-.4321 Sorry

anonymous · Answer

The sine of the angle theta is the length of the vertical side of a right angled triangle formed with the radius theta degrees anticlockwise from the positive x axis and the x axis.
If the sine of the angle is negative then it will occur in the bottom half of the unit circle, like so:
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Does this help?