# Describe in words the surface whose equation is given. (assume that r is not neg

Describe in words the surface whose equation is given. (assume that r is not negative.) $\theta =\frac{\pi }{4}$
a) The plane $y=-z$ where y is not negative
b) The plane $y=z$ where y and z are not negative
c) The plane $y=x$ where x and y are not negative
d) The plane $y=-x$ where y is not negative
e) The plane $x=z$ where x and y are not negative
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Jennifer Hill
Step 1
It represents line equation in XY- plane whose equation if given by $x=y$ where x and y are not negative
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Jick1984
Step 1
Since $\theta$ is the angle of x, y plane measured counter clock-wise from the $+x-a\xi s.$
This equation represents all points located at an angle of $\frac{\pi }{4}$ to $+x-a\xi s$.
This represents half plane. Since cosine and sine have same values at $\frac{\pi }{4}$ in this case, $x=y$.
It means option (c) is the correct answer.