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polina0Larionova
@polina0Larionova
July 2022
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Одна из сторон параллелограмма равна 15 , другая равна 6 , а тангенс одного из углов равен √2/4. Найдите S параллелограмма .
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let5
S=abSinC
a=6 b=15
tgС=sinC/cosC
√2/4=sinC/√1-sin²С
2/16=sin²C/(1-sin²C)
8sin²C=1-sin²С
9sin²C=1
sin²C=1/9
sinC=1/3
S=6·15·1/3=30
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Answers & Comments
a=6 b=15
tgС=sinC/cosC
√2/4=sinC/√1-sin²С
2/16=sin²C/(1-sin²C)
8sin²C=1-sin²С
9sin²C=1
sin²C=1/9
sinC=1/3
S=6·15·1/3=30