1. **State the problem:** Show that the identity $$\frac{1 - \sin^2 A}{\cos^2 A} = 1$$ is true. 2. **Recall the Pythagorean identity:** We know that $$\sin^2 A + \cos^2 A = 1$$. 3. **Rewrite the numerator using the Pythagorean identity:** $$1 - \sin^2 A = \cos^2 A$$ 4. **Substitute into the original expression:** $$\frac{1 - \sin^2 A}{\cos^2 A} = \frac{\cos^2 A}{\cos^2 A}$$ 5. **Simplify the fraction:** $$\frac{\cancel{\cos^2 A}}{\cancel{\cos^2 A}} = 1$$ 6. **Conclusion:** The identity is true because the left side simplifies exactly to 1, matching the right side.