1. **State the problem:** Verify if the identity $$\frac{\sin^2 \theta}{\cos \theta} + \frac{\cos^2 \theta}{\cos \theta} = \csc \theta$$ is true. 2. **Recall the Pythagorean identity:** $$\sin^2 \theta + \cos^2 \theta = 1$$. 3. **Simplify the left-hand side (LHS):** $$\frac{\sin^2 \theta}{\cos \theta} + \frac{\cos^2 \theta}{\cos \theta} = \frac{\sin^2 \theta + \cos^2 \theta}{\cos \theta}$$ 4. **Apply the Pythagorean identity:** $$\frac{1}{\cos \theta} = \sec \theta$$ 5. **Compare with the right-hand side (RHS):** RHS is $$\csc \theta = \frac{1}{\sin \theta}$$ 6. **Conclusion:** Since $$\sec \theta \neq \csc \theta$$ in general, the identity is **false**. **Final answer:** The statement is **False**.