Show, if overlap is ignored,

(a) That any molecular orbital expressed as a linear combination of two atomic orbitals may be written in the form ψ=ψ_A cos θ +ψ_B sin θ, where θ is a parameter that varies between 0 and π, 

(b) That if ψ_A and ψ_B are orthogonal and normalized to 1, then ψ is also normalized to 1.

(c) To what values of θ do the bonding and antibonding orbitals in a homonuclear diatomic molecule correspond?