Answer:
The statement is false
Step-by-step explanation:
You cannot prove this since it's not true.
Assume for example that A=30°
[tex]Sin(A) = 0.5\\Sin^{2} (A) = 0.25 = \frac{1}{4} \\Tan(A) = \frac{1}{\sqrt{3}} \\Tan^{2} (A) = \frac{1}{3}\\Sin^{2} (A) - Tan^{2} (A) = \frac{1}{4} - \frac{1}{3} =- \frac{1}{12} \neq 1[/tex]