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kkiinddeerr
@kkiinddeerr
August 2022
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sin75-tg30cos75 Упростите выражение
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Эля057
Lg250+lg20-lg5=lg(250*20/5)=lg1000=3
sin75-tg30cos75=√2/4+√6/4-√2/4+√6/12=3√6/12+√6/12=4√6/12=√6/3
sin75=sin(30+45)=sin30cos45+cos30sin45=√2/4+√6/4=(√2+√6)/4
cos75=cos(30+45)=cos30cos45-sin30sin45=√6/4-√2/4=(√6-√2)/4
tg30=√3/3
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Answers & Comments
sin75-tg30cos75=√2/4+√6/4-√2/4+√6/12=3√6/12+√6/12=4√6/12=√6/3
sin75=sin(30+45)=sin30cos45+cos30sin45=√2/4+√6/4=(√2+√6)/4
cos75=cos(30+45)=cos30cos45-sin30sin45=√6/4-√2/4=(√6-√2)/4
tg30=√3/3