Question

СРОЧНО!!! 20 БАЛОВ !
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Answer 1

Ответ:

1)

а)

$sin \angleА = \frac{ВС}{АВ} = \frac{3}{5} \\ cos \angleА = \frac{АС}{АВ} = \frac{4}{5} \\ tg \angleА = \frac{ВС}{АС} = \frac{3}{4}$

б)

$sin \angle В = \frac{АС}{АВ} = \frac{4}{5} \\ cos \angleВ = \frac{ВС}{АВ} = \frac{3}{5} \\ tg\angleВ = \frac{АС}{ВС} = \frac{4}{3}$

2)

а)

$sin\angle N = \frac{MK}{MN} = \frac{18}{6 \sqrt{10} } = \frac{3}{ \sqrt{10} } \\ tg\angle H = \frac{RO}{HO} = \frac{8 \sqrt{2} }{4} = 2 \sqrt{2}$

б)

$cos\angle M = \frac{MK}{ MN} = \frac{18}{6 \sqrt{10} } = \frac{3}{ \sqrt{10} } \\ tg \angle R = \frac{RO}{HO} = \frac{8 \sqrt{2} }{4} = 2 \sqrt{2}$

3)

a)

$cos\angle D = \frac{DF}{ED} = \frac{12}{13} \\ tg \angle D = \frac{EF}{DF} = \frac{ \sqrt{13^{2} - {12}^{2} } }{12} = \\ = \frac{ \sqrt{169 - 144} }{12} = \frac{ \sqrt{25} }{12} = \frac{5}{12}$

б)

$sin \angle E = \frac{DF}{ED} = \frac{12}{13} \\ tg \angle E = \frac{DF}{EF} = \frac{12}{5}$