Question

Cos⁡(π(2x-3)/3=1/2 решить

Answer 1

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Answer 2

To solve the equation cos(π(2x-3)/3) = 1/2, we can follow these steps:

Step 1: Identify the angle whose cosine is 1/2. Step 2: Set the argument of the cosine function equal to that angle. Step 3: Solve for x.

Step 1: Identify the angle whose cosine is 1/2. The angle whose cosine is 1/2 is π/3.

Step 2: Set the argument of the cosine function equal to that angle. π(2x - 3)/3 = π/3

Step 3: Solve for x. To solve for x, we will isolate it on one side of the equation:

Multiply both sides by 3 to eliminate the denominator: π(2x - 3) = π

Divide both sides by π: 2x - 3 = 1

Now, add 3 to both sides to isolate the x term: 2x = 4

Finally, divide both sides by 2 to solve for x: x = 2

So, the solution to the equation is x = 2.