Упростите выражение (1+sin4a-cos4a)/(1+cos4a+sin4a). Created by sewonhan. algebra-ru

(1+cos4a+sin4a)...

August 2021 1 31 Report

Упростите выражение (1+sin4a-cos4a)/(1+cos4a+sin4a)

Answers & Comments

Vas61 (cos²2α+sin²2α+2sin2αcos2α-cos²2α+sin²2α)/(cos²2α+sin²2α+cos²2α-sin²2α+2sin2αcos2α)=(2sin²2α+2sin2αcos2α)/(2cos²2α+2sin2αcos2α)=
2sin2α(sin2α+cos2α)/2cos2α(cos2α+sin2α)=sin2α/cos2α=tg2α

2 votes Thanks 5

Answers & Comments

Helpful Links

Helpful Social