Question

Найдите: cos a, tg a, ctg a, если sin a=/2

Answer 1

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Answer 2

It appears that there might be a typo in your question. The statement "sin a=/2" is not clear. If you meant to write "sin a ≠ 1/2," then I can help you find the values of cos a, tan a, and cot a based on this assumption.

Let's proceed with the assumption that sin a ≠ 1/2.

1. First, we know that sin^2(a) + cos^2(a) = 1 (Pythagorean trigonometric identity).
2. We also know that tan(a) = sin(a) / cos(a) and cot(a) = 1 / tan(a).

Given that sin(a) ≠ 1/2, we can use this information to find the values:

1. cos(a) = ± sqrt(1 - sin^2(a))
2. tan(a) = sin(a) / cos(a)
3. cot(a) = 1 / tan(a)

Keep in mind that there are two possible solutions for cos(a) because the sine function repeats itself every 2π radians.

If you have specific numerical values for sin(a) or any other details, please provide them so that I can give you the exact values of cos(a), tan(a), and cot(a).