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kisslove141414
@kisslove141414
March 2022
1
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Помогите пожалуйста мне решить:
cos(x+y) cos(x-y)
cos 82*30'cos37*30'
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Answers & Comments
oganesbagoyan
Verified answer
Cos(x+y)* cos(x-y) =
(
cos(x+y- (x-y)) + cos(x+y+x-y)
) /
2
= (cos2y + cos2x) / 2.
-------
cos 82°30'cos37°30' =
(
cos(82°30'-37°30') +
cos(82°30'-37°30')
) /
2 =
(cos45° +
cos120°)
/
2 =(√2/2 - 1/2)
/
2
=(√2 - 1) / 4.
* * * * * * *
преобразование произведения в сумму
* * * * * * *
cosα*cosβ =
(
cos(α -β) +cos(α +β)
)
/2
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Answers & Comments
Verified answer
Cos(x+y)* cos(x-y) =(cos(x+y- (x-y)) + cos(x+y+x-y) ) / 2 = (cos2y + cos2x) / 2.-------
cos 82°30'cos37°30' =(cos(82°30'-37°30') +cos(82°30'-37°30') ) / 2 =
(cos45° +cos120°) / 2 =(√2/2 - 1/2) / 2 =(√2 - 1) / 4.
* * * * * * * преобразование произведения в сумму * * * * * * *
cosα*cosβ =(cos(α -β) +cos(α +β))/2