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diceaqq
@diceaqq
August 2022
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Решите с 3 по 8. Заранее спасибо.
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ПрофиЗнания
3) cos 2*20/(cos20-sin20) = (cos²20-sin²20)/(cos20-sin20)=(cos20-sin20)(cos20+sin20)/(cos20-sin20)= cos20+sin20
4)cos² π/12- sin² π/12 =cos 2* π/12 = cos π/6 = cos 30 = √3/2
5) 2cos35/sin2*35 = 2cos35/ 2sin35cos35 = 1 /sin35
6) 1- 2sin² π/8 = cos 2* π/8 = cos π/4 = √2/2
7)-(2cos²75-1)=-cos2*75=-cos150=-(-√3/2)=√3/2
8)2*(1-2sin²a)+2sin²a-3=2-4sin²a+2sin²a-3=-1-2sin²a +2-2=1-2sin²a-2=cos2a-2
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Answers & Comments
4)cos² π/12- sin² π/12 =cos 2* π/12 = cos π/6 = cos 30 = √3/2
5) 2cos35/sin2*35 = 2cos35/ 2sin35cos35 = 1 /sin35
6) 1- 2sin² π/8 = cos 2* π/8 = cos π/4 = √2/2
7)-(2cos²75-1)=-cos2*75=-cos150=-(-√3/2)=√3/2
8)2*(1-2sin²a)+2sin²a-3=2-4sin²a+2sin²a-3=-1-2sin²a +2-2=1-2sin²a-2=cos2a-2