Identify the curve of intersection of the surfaces z = sin and r = 1. Note: the

Question

Identify the curve of intersection of the surfaces z = sin and r = 1. Note: the surfaces are given in cylindrical coordinates, but you can give your answer in either cylindrical or rectangular coordinates.) Identify the curve of intersection of the surfaces z = sin and r = 1. Note: the surfaces are given in cylindrical coordinates, but you can give your answer in either cylindrical or rectangular coordinates.) Identify the curve of intersection of the surfaces z = sin and r = 1. Note: the surfaces are given in cylindrical coordinates, but you can give your answer in either cylindrical or rectangular coordinates.)

Explanation / Answer

surfaces are

z=sin theta; => (r,theta,sin theta)

r=1;(1,theta, z)

in cylindrical coordinates;

intersection as

we have (1,theta,sin theta);

this is curve of intersection, given in cylindrical coordinates;

in cartesian we get;

x= cos theta;

y= sin theta;

z = sin theta;

so equation of curve is (x,+ or - sqrt(1-x^2),+ or - sqrt(1-x^2))

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---