Задание
Подставь функции в равенства
Формулы двойного угла.
- \(\sin \alpha \)
- \(\sin \alpha \)
- \(\sin \alpha\)
- \(\sin \alpha\)
- \(\cos \alpha\)
- \(\cos \alpha\)
- \(\cos \alpha\)
- \(\cos \alpha\)
- \(\tg \alpha\)
- \(\tg \alpha\)
- \(\tg \alpha\)
- \(\tg \alpha\)
\(\sin 2\alpha =\sin (\alpha +\alpha )=\) [ ] \(\cdot \) [ ] \(+\) [ ] \(\cdot \) [ ]
\(\cos 2\alpha =\cos (\alpha +\alpha )=\) [ ] \(\cdot \) [ ] \(-\) [ ] \(\cdot \) [ ]
\(\tg 2\alpha =\tg (\alpha +\alpha )=\) \((\) [ ] \(+\) [ ] \()\Big/\) \((1-\) [ ] \(\cdot \) [ ] \()\) .
Упростив равенства, получим:
- \(\sin 2\alpha =2\sin \alpha \cos \alpha \) .
- \(\cos 2\alpha =\cos^ 2\alpha -\sin ^2\alpha \) .
- \(\tg 2\alpha =\dfrac{2\tg \alpha }{1-\tg^ 2\alpha }\) .