Упростите выражение: sin^2x+cos^4x-0,75. Created by YanaSavenkova. algebra-ru

Упростите выражение: sin^2x+cos^4x-0,75...

YanaSavenkova @YanaSavenkova

July 2022 1 12 Report

Упростите выражение:
sin^2x+cos^4x-0,75

Answers & Comments

Хуqожнuк

Verified answer

sin²x = 1 - cos²x

(a - b)² = a² - 2ab + b²

cos(2x) = 2cos²x - 1

$sin^2x+cos^4x-0,75=1-cos^2x+cos^4x-0,75=\\\\=cos^4x-cos^2x+\frac{1}{4}=(cos^2x)^2-2\cdot \frac{1}{2}\cdot cos^2x+(\frac{1}{2})^2=\\\\=(cos^2x-\frac{1}{2})^2=(\frac{1}{2}(2cos^2x-1))^2=(\frac{1}{2}cos2x)^2=\frac{1}{4}cos^22x$

21 votes Thanks 54

centr okruzhnosti tochka oradius okruzhnosti raven 2 smtochka a lezhit vne okruzhnos

Answer

YanaSavenkova August 2022 | 0 Ответы

drobnaya cherta zaranie spasibo7027932e33d4456a965ca15eac1697d8 52391

Answer

YanaSavenkova August 2022 | 0 Ответы

drobnaya cherta zaranie spasiboc6fbe16064bcba31d4e6b01cb207372c 68699

Answer

YanaSavenkova August 2022 | 0 Ответы

nachertite ostryj ugol i izmerte ego s pomoshyu transportirakakova tochnost polu

Answer

YanaSavenkova August 2022 | 0 Ответы

Answers & Comments

Verified answer

centr okruzhnosti tochka oradius okruzhnosti raven 2 smtochka a lezhit vne okruzhnos

drobnaya cherta zaranie spasibo7027932e33d4456a965ca15eac1697d8 52391

drobnaya cherta zaranie spasiboc6fbe16064bcba31d4e6b01cb207372c 68699

nachertite ostryj ugol i izmerte ego s pomoshyu transportirakakova tochnost polu

3...

pozhalujsta rasstavte stepeni okisleniya hno3naohnano3h2o 2hno3na2co32nano3

pomogite pozhalujsta 79ag

pomogite pozhalujsta 77vg

pomogite pozhalujstab4447d42040047b0805cc4309ee0cfd1 18458

drobnaya cherta27d58ace36e3af61e52f8b46c7e06ed6 90515

рекомендуемые вопросы

Helpful Links

Helpful Social