Chapter 14.1, Problem 50HP

To determine

To find:Error in explanation.

Explanation of Solution

Calculation :

Jordan is wrong

  $\frac{{\text{sin}}^2\text{θ}}{{\text{cos}}^2{\text{θ+sin}}^2\text{θ}}=\frac{{\text{sin}}^2\text{θ}}{{\text{cos}}^2\text{θ}}+\frac{{\text{sin}}^2\text{θ}}{{\text{sin}}^2\text{θ}}$

Above step is wrong

  $\frac{a}{P+q}\ne \frac{a}{p}+\frac{a}{q}$

Ebony is right

  $\begin{array}{l}\frac{{\text{sin}}^2\text{θ}}{{\text{cos}}^2\text{θ}+{\text{sin}}^2\text{θ}}=\frac{{\text{sin}}^2\text{θ}}{1}\\ \because \boxed{{\text{sin}}^2\text{θ}+{\text{cos}}^2\text{θ=1}}\end{array}$