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Uprava vyrazu v matematice
Uprav výraz:
\( \large \Large \frac{1+tg^{2}x}{1+cotg^{2} x}\large \)
\( \large \Large \frac{\frac{1}{sin^{2}x}}{\frac{1}{cos^{2}{x}}} = \frac{cos^{2}{x}}{sin^{2}{x}} = cotg^{2}x \)
\( \large \Large \frac{\frac{1}{cos^{2}x}}{\frac{1}{sin^{2}{x}}} = \frac{sin^{2}{x}}{cos^{2}{x}} = tg^{2}x \)
\( \large \Large \frac{1+cos^{2}x}{1+sin^{2}x} = 1 \)
\( \large \Large \frac{1}{1+sin^{2}x} = \frac{1}{cos^{2}x} \)