Question

3 + 3 cos ( x/6 + π/18) = 0

Answer 1

Ответ:

$x=\frac{17π}{3} +12kπ, k∈z$

Объяснение:

$\frac{17π}{3} +12kπ$

$cos(\frac{x}{6} +\frac{π}{18} )=-1$

$\frac{x}{6} +\frac{π}{18} =π$

$\frac{x}{6} +\frac{π}{18} =π+2kπ, k ∈ z$

$x=\frac{17π}{3} +12kπ, k∈z$

p.s: π - $π$

      ∈ - $∈$

Answer 2

To solve the equation 3 + 3 cos(x/6 + π/18) = 0, we can follow these steps:

Step 1: Subtract 3 from both sides of the equation to isolate the cosine term: 3 cos(x/6 + π/18) = -3

Step 2: Divide both sides of the equation by 3 to isolate the cosine term: cos(x/6 + π/18) = -1

Step 3: To solve for x, we need to find the angle whose cosine is -1. This occurs when the angle is π radians (180 degrees). Therefore, we can set the expression inside the cosine function equal to π:

x/6 + π/18 = π

Step 4: Solve for x by subtracting π/18 from both sides of the equation: x/6 = π - π/18

Step 5: Simplify the right side: x/6 = (18π - π)/18 x/6 = 17π/18

Step 6: Multiply both sides by 6 to isolate x: x = 6 * (17π/18) x = (102π)/18 x = 17π/3

So, the solution to the equation 3 + 3 cos(x/6 + π/18) = 0 is x = 17π/3.