Question

CosX=1/2 Решите неравенство !!

Answer 1

О каком неравенстве речь? у тебя записано уравнение
cosx=1/2 
x = +- arccos(1/2) + 2  Pi*k, k прин Z
x = +- Pi/3 + 2  Pi*k, k прин Z

Answer 2

Solving the Inequality CosX = 1/2

To solve the inequality cos(x) = 1/2, we can use the inverse cosine function to find the values of x that satisfy the inequality. The inverse cosine function is denoted as arccos or cos^-1.

The solutions to the inequality cos(x) = 1/2 can be found by setting x = arccos(1/2) and considering the periodic nature of the cosine function.

The solutions for x will be the angles where the cosine function equals 1/2.

Let's calculate the values of x that satisfy the inequality.

Calculation

The value of x that satisfies the inequality cos(x) = 1/2 is given by: x = arccos(1/2)

Using the inverse cosine function, we find: x = π/3 + 2πn and x = 5π/3 + 2πn, where n is an integer.

Therefore, the solutions to the inequality cos(x) = 1/2 are: x = π/3 + 2πn and x = 5π/3 + 2πn, where n is an integer.

This means that x can take on multiple values that satisfy the inequality.

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