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marataglyamov
@marataglyamov
July 2022
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Lesben
Verified answer
(tg²α-sin²α).(1/sin²α -1)=(sin²α/cos²α -sin²α).((1-sin²α)/sin²α)=
=(sin²α-sin²αcos²α)/cos²α . cos²α/sin²α=sin²α(1-cos²α) . 1/sin²α=
=1-cos²α=sin²α
α≠π/2 + kπ,k∈Z.
3 votes
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Lesben
Ja eto ponjal i zadanie icpravil.
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Answers & Comments
Verified answer
(tg²α-sin²α).(1/sin²α -1)=(sin²α/cos²α -sin²α).((1-sin²α)/sin²α)==(sin²α-sin²αcos²α)/cos²α . cos²α/sin²α=sin²α(1-cos²α) . 1/sin²α=
=1-cos²α=sin²α
α≠π/2 + kπ,k∈Z.