Question

Найдите cos(x), если sin(x) = −√7/4 и 180∘ < x < 270∘

Answer 1

Ответ:

Пошаговое объяснение:

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Answer 2

To find the value of cos(x), we can use the Pythagorean identity:

sin^2(x) + cos^2(x) = 1

Given that sin(x) = -√7/4, we can calculate sin^2(x):

sin^2(x) = (-√7/4)^2 = 7/16

Now, we can use the Pythagorean identity to find cos^2(x):

cos^2(x) = 1 - sin^2(x) = 1 - 7/16 = 9/16

Since x is in the third quadrant (180° < x < 270°), the cosine function is negative. Thus, cos(x) = -√(9/16) = -√9/√16 = -3/4.

So, cos(x) = -3/4.