Решебник по геометрии 9 класс Мерзляк Задание 4

\[1)\ 2\sin{90{^\circ}} + 3\cos{0{^\circ}} =\]

\[= 2 \bullet 1 + 3 \bullet 1 = 5.\]

\[2)\ 3\sin{0{^\circ}} - 5\cos{180{^\circ}} =\]

\[= 3 \bullet 1 - 5 \bullet ( - 1) = 8.\]

\[3)\ tg\ 23{^\circ} \bullet tg\ 0{^\circ} \bullet tg\ 106{^\circ} =\]

\[= tg\ 23{^\circ} \bullet 0 \bullet tg\ 106{^\circ} = 0.\]

\[4)\ 6\ tg\ 180{^\circ} + 5\sin{180{^\circ}} + ctg\ 90{^\circ} =\]

\[= 6 \bullet 0 + 5 \bullet 0 + 0 = 0.\]

\[5)\cos^{2}{165{^\circ}} + \sin^{2}{165{^\circ}} = 1.\]

\[6)\ \frac{\sin{0{^\circ}} + \sin{90{^\circ}}}{\cos{0{^\circ}} - \cos{90{^\circ}}} = \frac{0 + 1}{1 - 0} = 1.\]