Final answer:
To show that equation (6.46) results rather than equation (5.8) when the approximations for θ ₀ and θᵢ are improved, we can start with the exact expression given by equation (5.5) and make the suggested improvements to the approximations to obtain equation (6.46) as the result.
Step-by-step explanation:
To show that equation (6.46) results rather than equation (5.8) when the approximations for θ ₀ and θᵢ are improved, we need to start with the exact expression given by equation (5.5).
Then, by making the suggested improvements to the approximations for θ ₀ and θᵢ in the equation, we can derive equation (6.46) as the result.