Помогите с математикой! Решите 151-153 номера! См.фото! СРОЧНО!. Created by Leo75104. matematika-ru

151.1.2.3.3.152.1.2.3.4.153.1.2.3.4.Везде n принадлежит z.

Помогите с математикой! Решите 151-153 номера! См.фото! СРОЧНО!...

Leo75104 @Leo75104

August 2022 1 15 Report

Помогите с математикой!
Решите 151-153 номера!
См.фото!
СРОЧНО!

Answers & Comments

Miroslava227

151.

$\sin(x) = \frac{ \sqrt{2} }{2} \\ x1 = \frac{\pi}{4} + 2 \pi \: n \\ x2 = \frac{3\pi}{4} + 2\pi \: n$

$\cos(x) = \frac{1}{2} \\ x = + - \frac{\pi}{3} + 2\pi \: n$

$tg( x) = 1 \\ x = \frac{\pi}{4} + \pi \: n$

$ctg(x) = 2.05 \\ x = arcctg(2.05) + \pi \: n$

152.

$\sin(x) = - \frac{ \sqrt{3} }{2} \\ x1 = - \frac{\pi}{3} + 2\pi \: n \\ x2 = - \frac{2\pi}{3} + 2 \pi \: n$

$\cos(x) = - \frac{ \sqrt{2} }{2} \\ x = + - \frac{3\pi}{4} + 2 \pi \: n$

$tg(x) = - \frac{ \sqrt{3} }{3} \\ x = - \frac{\pi}{6} + \pi \: n$

$ctg(x) = - \frac{ \sqrt{3} }{3} \\ x = - \frac{\pi}{3} + \pi \: n$

153.

$\sin(2x) = \frac{1}{2} \\2x1 = \frac{\pi}{6} + 2\pi \: n \\ x1 = \frac{\pi}{12} + \pi \: n \\ \\ 2x2 = \frac{5\pi}{ 6} + 2\pi \: n \\ x2 = \frac{5\pi}{12} + \pi \: n$

$\cos(2x) = 1 \\ 2x = 2\pi \: n \\ x = \pi \: n$

$\sin(x) = \frac{4}{5} \\ x = {( - 1)}^{n} arcsin( \frac{4}{5} ) + \pi \: n$

$tg(3x) = \frac{ \sqrt{3} }{3} \\ 3x = \frac{\pi}{6} + \pi \: n \\ x = \frac{\pi}{18} + \frac{\pi \: n}{3}$

Везде n принадлежит z.

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