Question

2 cosx - корень из2=0.​

Answer 1

Ответ:

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Answer 2

To solve the equation 2 cos(x) - √2 = 0, we'll isolate the cosine term and then solve for x.

Step 1: Move the √2 to the other side of the equation: 2 cos(x) = √2

Step 2: Divide both sides by 2: cos(x) = √2 / 2

Now, we need to find the angles whose cosine equals √2 / 2. Remember that cos(45°) = √2 / 2, and also cos(315°) = √2 / 2. However, the cosine function is periodic with a period of 360° (or 2π radians), so we can find an infinite number of solutions by adding or subtracting multiples of 360° to these angles.

The general solutions for x are: x = 45° + 360°k (where k is an integer) x = 315° + 360°k (where k is an integer)

These solutions cover all possible values of x that satisfy the equation 2 cos(x) - √2 = 0.