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zhambulat
@zhambulat
July 2022
2
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помогите вычислите cos a если cos a/2=7/8 и 0 градусов
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nKrynka
Решение
cosa/2 = 7/8
cosa = 2cos²(a/2) - 1
cosa = 2*(7/8)² - 1 = 49/32 - 1 = (49 - 32)/32 = 17/32
1 votes
Thanks 3
zhambulat
спасибо
nikitokkk
Sin a/2=(1-49/64)^0.5=15^0.5/8
cos a=(cos a/2)^2-(sin a/2)^2
cos a=49/64-15/64=34/64=17/32
2 votes
Thanks 1
zhambulat
спасибо
zhambulat
решите еще это cos(60-a)+cos(60+a)
zhambulat
спасибо большое
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Answers & Comments
cosa/2 = 7/8
cosa = 2cos²(a/2) - 1
cosa = 2*(7/8)² - 1 = 49/32 - 1 = (49 - 32)/32 = 17/32
cos a=(cos a/2)^2-(sin a/2)^2
cos a=49/64-15/64=34/64=17/32