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- Homework Statement
- The potential Vo(θ) is specified on the surface of a hollow sphere,

of radius R. Find the potential inside the sphere.

- Relevant Equations
- Vo(θ)

I am currently reading Griffiths book for electrodynamics and having trouble making a jump in one of the problems. I have attached the problem (3.6) in question.

In the part that is highlighted, I don't see how we go from (1-cosθ) to (P

I can see that from the Legendre Polynomials that P

But how is cos

In the part that is highlighted, I don't see how we go from (1-cosθ) to (P

_{0}cosθ-P_{1}cosθ)?I can see that from the Legendre Polynomials that P

_{0}(cosθ) is equal to 1.But how is cos

_{0}= to P_{1}cosθ ?