SOLUTION: Give the rectangular coordinates of the point whose polar coordinates are (-2, -36 degrees).

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Question 983183: Give the rectangular coordinates of the point whose polar coordinates are (-2, -36 degrees).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The rectangular coordinates (x , y) and polar coordinates (R ,+theta) are related as follows.
y+=+R%2Asin%28+theta+%29+ and x+=+R%2A+cos%28+theta%29
R%5E2+=+x%5E2+%2B+y%5E2 and tan+%28theta%29+=+y+%2F+x

so,
if polar coordinates (R , theta) are (-2 , -36) , then we have
y+=+-2%2Asin%28+36+%29 and x+=+-2cos%28+36%29
y+=+-2+%28sqrt%28%285%2F8%29+-+sqrt%285%29%2F8%29%29 and +x+=+-2%28%281%2F4%29%281%2Bsqrt%285%29%29%29
exact result:
y+=+-2+%28sqrt%28%285%2F8%29+-+sqrt%285%29%2F8%29%29 and +x+=+-+%28%281%2F2%29+%281%2Bsqrt%285%29%29%29
approximate:
y+=+-1.18 and +x+=+-1.62
so, the rectangular coordinates of the point (x , y) are (1.62,-1.18)