Решите неравенство:(tg3x-1)/(tg3x+1)>1. Created by oksanka19. algebra-ru

(tg3x+1)>1...

oksanka19 @oksanka19

July 2022 1 16 Report

Решите неравенство:
(tg3x-1)/(tg3x+1)>1

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kalbim

Verified answer

(tg(3x) - 1)/(tg(3x) + 1) - 1 > 0
(tg(3x) - 1 - tg(3x) - 1)/(tg(3x) + 1) > 0
-2/(tg(3x) + 1) > 0
2/(tg(3x) + 1) < 0
tg(3x) + 1 < 0, tg(3x) < -1
-π/2 + πk < 3x < -π/4 + πk
-π/6 + πk/3 < x < -π/12 + πk/3
Рисунок круга прилагается

6 votes Thanks 7

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