From that day on, he never searched for “answers” again. He became the kid who said, “Let me prove it.”
Mrs. Castillo flipped through it silently. Then she smiled—a slow, terrifying smile. “Leo, would you come to the board? Prove number seven: (\frac{\sin x}{1+\cos x} = \csc x - \cot x).” Answers For No Joking Around Trigonometric Identities
He stood at the board, chalk in hand, sweating. He wrote (\frac{\sin x}{1+\cos x} \cdot \frac{1-\cos x}{1-\cos x}). Then (\frac{\sin x(1-\cos x)}{1-\cos^2 x}). Then (\frac{\sin x(1-\cos x)}{\sin^2 x}). Then (\frac{1-\cos x}{\sin x}). Then (\frac{1}{\sin x} - \frac{\cos x}{\sin x} = \csc x - \cot x). From that day on, he never searched for “answers” again