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mskot22
@mskot22
July 2022
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хелпаните:D c объяснением
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IrkaShevko
Verified answer
Tga - ctga = -4
(tga - ctga)² = (-4)²
tg²a + ctg²a - 2tga*ctga = 16
tga*ctga = 1 =>
tg²a + ctg²a = 16 + 2 = 18
Ответ: 18
2)
1 + 2/(sina/cosa + cosa/sina) = 1 + 2sinacosa/(sin²a + cos²a) = 1 + 2sinacosa
(sina + cosa)² = (1/3)²
sin²a + cos²a + 2sinacosa = 1/9
1 + 2sinacosa = 1/9
Ответ: 1/9
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Answers & Comments
Verified answer
Tga - ctga = -4(tga - ctga)² = (-4)²
tg²a + ctg²a - 2tga*ctga = 16
tga*ctga = 1 =>
tg²a + ctg²a = 16 + 2 = 18
Ответ: 18
2)
1 + 2/(sina/cosa + cosa/sina) = 1 + 2sinacosa/(sin²a + cos²a) = 1 + 2sinacosa
(sina + cosa)² = (1/3)²
sin²a + cos²a + 2sinacosa = 1/9
1 + 2sinacosa = 1/9
Ответ: 1/9