Question

Identify the surface whose equation is given. p = sin theta sin phi

Answer 1

Heyy mate

Here's your Answer..

Answer 2

Given:

p = sinθ sin∅

To Find:

the surface of equation

Solution:

  Multiplying both the sides of equation by p

⇒ p² = sinθ sin ∅

⇒ p² = p sinθ sin∅

⇒ p sinθ sin∅=y

⇒ p²= p sinθ sin∅

x²+y²+z²=y

x² + y² - y+ z² = 0

x²+ (y - 1/2)²+  z² = 1/4

r² =1/4, r= √1/4,

⇒ 1/4 is the surface of the sphere centered at (0, 1/2,0) with the radius 1/2.

    Spherical coordinates:

                                         x = p sin∅ sinθ

                                         y = p sin∅ sinθ

                                         z = p cos∅

                                         x² + y² + z² = p²