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snail123
@snail123
October 2021
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помогите пожалуйста решить номер 8.20 буква а, а то что то не получается
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m11m
1-cos⁴α-sin⁴α
=
1-cos⁴α-sin⁴α
=
1-cos⁴α-sin⁴α
=
1-cos⁴α-sin⁴α
=
sin⁴α-2sin²α+1 (1-sin²α)² (cos²α)² cos⁴α
=
1
-
cos⁴α
-
sin⁴α
= (tg²α+1)² - 1 - tg⁴α=tg⁴α+2tg²α+1-1-tg⁴α=2tg²α
cos⁴α cos⁴α cos⁴α
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Answers & Comments
sin⁴α-2sin²α+1 (1-sin²α)² (cos²α)² cos⁴α
= 1 - cos⁴α - sin⁴α = (tg²α+1)² - 1 - tg⁴α=tg⁴α+2tg²α+1-1-tg⁴α=2tg²α
cos⁴α cos⁴α cos⁴α