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June 2022 1 4 Report

Вычислите sin(30°+a), если cos a =-0,6. И пи/2<а<пи

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nKrynka Решение
sin(30° + a) = sin30°cosa + cos30°sina = (1/2)*cosa + (√3/2)sina
sina = √(1 - cos²a) = √( 1 - (- 0,6)²) = √(1 - 0,36) = √0,64 = 0,8
(1/2)*(- 0,6) + (√3/2)*(0,8) = - 3/10 + 2√3/5 ≈ 0,392
(√3 ≈ 1,73)

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xOCHOBAx July 2022 | 0 Ответы

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