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Razor36ru
@Razor36ru
August 2022
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(1+син х) (1+кос х)=1+син+косх Помогите пожалуйста
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ShirokovP
Verified answer
(1 + sinx)(1 + cosx) = 1 + sinx + cosx
1 + cosx + sinx + sinxcosx = 1 + sinx + cosx
1 + cosx + sinx + sinxcosx - 1 - sinx - cosx = 0
sinx cosx = 0
1) sinx = 0
x = pik, k ∈ Z
2) cosx = 0
x = pi/2 + pik, k ∈ Z
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Verified answer
(1 + sinx)(1 + cosx) = 1 + sinx + cosx1 + cosx + sinx + sinxcosx = 1 + sinx + cosx
1 + cosx + sinx + sinxcosx - 1 - sinx - cosx = 0
sinx cosx = 0
1) sinx = 0
x = pik, k ∈ Z
2) cosx = 0
x = pi/2 + pik, k ∈ Z