Úprava výrazu s funkcí sinus
Uprav výraz:
\( \large \Large \frac{1}{{1+\sin x}}\large + \Large \frac{1}{{1-\sin x}}\large \)
\( sin^{2}x + cos^{2}x = 1 → 1 − sin^{2}x = cos^{2}x \)
\( \frac{2}{{1\ −\ {{\sin }^2}x}} = \frac{1}{{{{\cos}^2}x}} \)
\( sin^{2}x + cos^{2}x = 1 → 1 − sin^{2}x = cos^{2}x \)
\( \frac{2}{{1\ −\ {{\cos }^2}x}} = \frac{2}{{{{\sin}^2}x}} \)
\( sin^{2}x + cos^{2}x = 1 → 1 − sin^{2}x = cos^{2}x \)
\( \frac{2}{{1\ −\ {{\sin }^2}x}} = \frac{2}{{{{\sin}^2}x}} \)
\( sin^{2}x + cos^{2}x = 1 → 1 − sin^{2}x = cos^{2}x \)
\( \frac{2}{{1\ −\ {{\sin }^2}x}} = \frac{2}{{{{\cos}^2}x}} \)