Ответ:
Объяснение:
sin²α+((cos²α-1)/(sin²α-1))+cos²α=sin²α+cos²α+((1-cos²α)/(1-sin²α))=
=1+(sin²α/cos²α)=(cos²α+sin²α)/cos²α=1/cos²α=sec²α.
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Verified answer
Ответ:
Объяснение:
sin²α+((cos²α-1)/(sin²α-1))+cos²α=sin²α+cos²α+((1-cos²α)/(1-sin²α))=
=1+(sin²α/cos²α)=(cos²α+sin²α)/cos²α=1/cos²α=sec²α.