Помогите!!!Нужно упростить выражение. Created by malinka1704. algebra-ru

Помогите!!!Нужно упростить выражение...

malinka1704 @malinka1704

July 2022 1 8 Report

Помогите!!!Нужно упростить выражение

Answers & Comments

Freakazoid

Verified answer

$cos^2(a-\frac{\pi}{4})-cos^2(a+\frac{\pi}{4})=\\(cos(a-\frac{\pi}{4})-cos(a+\frac{\pi}{4}))(cos(a-\frac{\pi}{4})+cos(a+\frac{\pi}{4}))=\\(-2sin\frac{a-\frac{\pi}{4}+a+\frac{\pi}{4}}{2}sin\frac{a-\frac{\pi}{4}-a-\frac{\pi}{4}}{2})(2cos\frac{a-\frac{\pi}{4}+a+\frac{\pi}{4}}{2}cos\frac{a-\frac{\pi}{4}-a-\frac{\pi}{4}}{2})=\\(-2sinasin(-\frac{\pi}{4}))(2cosacos(-\frac{\pi}{4}))=\\(2*\frac{\sqrt2}{2}*sina)(2*\frac{\sqrt2}{2}*cosa)=(\sqrt2sina)(\sqrt2cosa)=\\2sinacosa=sin2a.$

1 votes Thanks 1

Answers & Comments

Verified answer

2 + x) - 1 = 0...

678910 pozhalujsta ochen srochno

pomogite pozhalujstauprostite vyrazhenieb7faa64bc08f599cb42cff599f6658ac 67414

ochen srochnoproshupomogitepozhalujstauprostit vyrazhenie

pomogitesrochnodayu 20 ballov2e3edabb6d55322a993aa11a05daf499 63290

rebyatpomogiteneobhodimo dokazat tozhdestvo

ryabyatpomogiteneobhodimo dokazat tozhdestvo

pomogite 15 budu blagodaren 4cos4x 4cos2x10

pomogite115 nomerpozhalujsta 30 ballov dayu

pomogiterebyatpozhalujstaneobhodimo vychislit

рекомендуемые вопросы

Helpful Links

Helpful Social