Алгебра. Тригонометрическая функция.. Created by grizzlykov. algebra-ru

Алгебра. Тригонометрическая функция...

grizzlykov @grizzlykov

July 2022 1 8 Report

Алгебра. Тригонометрическая функция.

Answers & Comments

Universalka

Verified answer

α - угол второй четверти, значит Sinα > 0 , Cosα < 0 , tgα < 0.

$1)tg\alpha=\frac{1}{Ctg\alpha }=\frac{1}{-\sqrt{2} }=-\frac{\sqrt{2} }{2}\\\\1+Ctg^{2}\alpha=\frac{1}{Sin^{2} \alpha }\\\\Sin^{2}\alpha=\frac{1}{1+Ctg^{2}\alpha}=\frac{1}{1+(-\sqrt{2} )^{2} }=\frac{1}{1+2}=\frac{1}{3}\\\\Sin\alpha=\sqrt{\frac{1}{3} }=\frac{1}{\sqrt{3} }=\frac{\sqrt{3} }{3}\\\\Cos\alpha=-\sqrt{1-Sin^{2}\alpha}=-\sqrt{1-\frac{1}{3} }=-\sqrt{\frac{2}{3} }=-\frac{\sqrt{6} }{3}$

$2)Sin^{2}2\alpha+Cos^{2}2\alpha+Ctg^{2}5\alpha=1+Ctg^{2}5\alpha=\frac{1}{Sin^{2}5\alpha}\\\\\frac{Ctg\alpha }{tg\alpha+Ctg\alpha}=\frac{Ctg\alpha }{\frac{1}{Ctg\alpha }+Ctg\alpha}=\frac{Ctg\alpha }{\frac{1+Ctg^{2}\alpha}{Ctg\alpha}}=\frac{Ctg^{2}\alpha}{1+Ctg^{2}\alpha}$ = $\frac{\frac{Cos^{2}\alpha}{Sin^{2}\alpha} }{\frac{1}{Sin^{2}\alpha} }=\frac{Cos^{2}\alpha*Sin^{2}\alpha}{Sin^{2}\alpha}=Cos^{2}\alpha$

0 votes Thanks 0

Answers & Comments

Verified answer

najdite deeprichastiya pzhlsta v zimnyuyu noch chudesa prihodyat bez priglasheniya pozd

pri kakom parametre a uravnenie x23ax4a0 imeet odin koren v otvet zapishited5f3e65878939345a59177f057593f36 79845

pomogite najdite v tekste deprichastiya skolko raz ostavya tihonko skuchnuyu

algebra srochno 8 klassc1b79d6beae864e9be7916924a968f31 6296

summa uglov 2 i 6 ravna 74 semu ravna summa uglov 1 i 8

pomogite srochno po algebrecd9270b6b4cfca080b05f8681ca0a982 37314

1 v detskoj magnitnoj azbuke 32 bukvy kakoe kolichestvo informacii soderzhit sooe45645ac65eaa2d00f6d732603ae9e8f 124

pomogite pozhalujsta po algebre 8 klass0a7741d38a52e89df38439ef6f33646f 85776

perepishite sleduyushie povelitelnye predlozheniya v kosvennoj rechi ispolzuya infin

perepishite sleduyushie voprosy v kosvennoj rechi mike asked jane will you come t

рекомендуемые вопросы

Helpful Links

Helpful Social