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rakiyapav
@rakiyapav
August 2022
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Упростить выражение:
1. Cos2a+Sin^2a;
3. tga/1-tg^2a
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Answers & Comments
hlopushinairina
1.cos2α+sin²α=cos²α-sin²α+sin²α=cos²α;
2.tgα/(1-tg²α)=tgα/(1 - sin²α/cos²α)=tgα/(cos²α-sin²α)/cos²α=
=sinα/cosα :cos2α /cos²α=(sinα·cos²α) /(cosα·cos2α)=
=sinα·cosα/cos2α=1/2·sin2α/cos2α=1/2·tg2α;
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Answers & Comments
2.tgα/(1-tg²α)=tgα/(1 - sin²α/cos²α)=tgα/(cos²α-sin²α)/cos²α=
=sinα/cosα :cos2α /cos²α=(sinα·cos²α) /(cosα·cos2α)=
=sinα·cosα/cos2α=1/2·sin2α/cos2α=1/2·tg2α;