Задача 62999 ...

61e1d732780c6c1c8f672ce7

05.02.2022 13:20:51

sqrt(75) (cos)^(2) 23π/12 - sqrt(75) sin^(2) 23π/12

5f3ea7e3faf909182968ddd9

05.02.2022 14:07:04

★

cos^2 α -sin^2 α =cos 2 α


√75* [m]cos^2 \frac{23π}{12}[/m] – √75* [m]sin^2 \frac{23π}{12}[/m] =√75* ([m]cos^2 \frac{23π}{12}-sin^2 \frac{23π}{12})[/m]=

=√75* ([m]cos 2\cdot \frac{23π}{12}[/m]=√75* [m]cos \frac{23π}{6}[/m]=√75* [m]cos \frac{24π-π}{6}[/m]=√75* [m]cos (\frac{24π}{6}- \frac{π}{6})[/m]=√75* [m]cos \frac{π}{6}[/m]=√75* [m]cos \frac{\sqrt{3}}{2}[/m]= .... считайте