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how to change θ=(-π/2) to rectangular coordinates?
math help how to change θ=(-π/2) to rectangular coordinates
the answer in the back of the book is x=0... and on the unit circle negative pi/2 is at the same spot as 3 pi/2 and the x and y are (0,-1) but in the back of the book and in other problems the answer is always x=(number) I do not understand why y=-1 is not listed. If possible I would like a solution with detailed steps for why θ=(-π/2) equals x=0.
ok thanks for the exlplanation
explanation*
1 Answer
- Marley KLv 79 years agoFavorite Answer
sorry, but there are no steps to get this answer. θ=-π/2 is a vertical line through the origin, which means it translates into x=0.
y = -1 is a horizontal line.
when you think of -π/2, remember that you are looking at the terminal ray of an angle that starts at the x-axis. The angle opens and the ray that moves around the unit circle is the line you are looking for. Yes, -π/2 terminates at (0,-1), the ray is the line which goes through the origin and connects with (0,-1).
hope this helps! ;)