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anna050301
@anna050301
July 2022
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Найдите значение выражения 3√2 sinα , если
cosα = 1/3 и α ∈ (3π/2; 2π)
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nKrynka
Решение
Найдите значение выражения 3√2 sinα , если
cosα = 1/3 и α ∈ (3π/2; 2π)
sin
α = - √(1 - cos²α) = - √(1 - (1/3)²) = - √(1 - 1/9) = - √(8/9) = (- 2√2)/3
3√2 sinα =(3
√2) * [(-2√2)/3] = - 4
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Answers & Comments
Найдите значение выражения 3√2 sinα , если
cosα = 1/3 и α ∈ (3π/2; 2π)
sinα = - √(1 - cos²α) = - √(1 - (1/3)²) = - √(1 - 1/9) = - √(8/9) = (- 2√2)/3
3√2 sinα =(3√2) * [(-2√2)/3] = - 4