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Вопрос по математике:
Известно, что sinx=7/25 0-
Автор:
monique
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Известно, что sin x = 7/25 и 0 < x < pi/2.
Найдем cos x.
Так как, 0 < x < pi/2, тогда cos x имеет положительное значение.
Применяем формулу:
sin^2 x + cos^2 x = 1;
cos^2 x = 1 - sin^2 x;
cos x = √(1 - sin^2 x) = √(1 - (7/25)^2 = √(1 - 49/625) = √(625/625 - 49/625) = √(625 - 49)/√625 = √576/√625 = 24/25;
В итоге получили, cos x = 24/25.
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