Question

2cos (X - π/6)= 1 ПОМОГИТЕ РЕШИТЬ,СРОЧНО!!!

Answer 1

Пишите, если что не так

Answer 2

Cos(x-π/6)=1/2
x-π/6=-π/3+2πn U x-π/6=π/3+2πk
x=-π/6+2πn,n∈z U x=π/2+2πk,k∈z

Answer 3

Solving the Equation 2cos(x - π/6) = 1

To solve the equation 2cos(x - π/6) = 1, we can follow these steps:

1. Isolate the Cosine Function: We can start by isolating the cosine function by dividing both sides of the equation by 2: ``` cos(x - π/6) = 1/2 ```

2. Find the Angle Whose Cosine is 1/2: We need to find the angle whose cosine is 1/2. This can be done using the inverse cosine function.

3. Add π/6 to the Angle: Once we find the angle, we need to add π/6 to it to find the value of x.

Solution Steps

1. Isolate the Cosine Function: Dividing both sides by 2, we get: ``` cos(x - π/6) = 1/2 ```

2. Find the Angle Whose Cosine is 1/2: According to trigonometric principles, the angle whose cosine is 1/2 is π/3. This is because the cosine of π/3 is 1/2.

3. Add π/6 to the Angle: Adding π/6 to π/3, we get: ``` x - π/6 = π/3 x = π/3 + π/6 x = π/2 ```

So, the solution to the equation 2cos(x - π/6) = 1 is x = π/2.

This solution is obtained by using trigonometric principles and the properties of the cosine function.

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