Question

Помогите пожалуйста
"спростити вираз"
cos2B (1-tg2B)
$\cos^{2} \beta (1 - \tan^{2} \beta )$
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Answer 1

Ответ:

$cos(2\beta )$

Объяснение:

$cos(\beta )^{2}(1-(\frac{sin(\beta )}{cos(\beta )})^{2} ) \\cos(\beta )^{2}*\frac{cos(\beta )^{2}-sin(\beta )^{2}}{cos(\beta )^{2}} \\cos(\beta )^{2}-sin(\beta )^{2}\\cos(2\beta )$