Question

Cos(-x/3)=√3/2 Решите пожалуйста))

Answer 1

Cos =√3/2 когда -х/3=п/6+2пn или 5п/6+2пn
x=-п/2-6пn или -5п/2-6пn

Answer 2

Problem Statement

The equation we need to solve is cos(-x/3) = √3/2. We want to find the values of x that satisfy this equation.

Solution

To solve the equation cos(-x/3) = √3/2, we can use the inverse cosine function to find the angle whose cosine is equal to √3/2. The inverse cosine of √3/2 is π/6.

Therefore, we have -x/3 = π/6.

To solve for x, we can multiply both sides of the equation by -3:

-3 * (-x/3) = -3 * (π/6)

This simplifies to:

x = -π/2

So the solution to the equation cos(-x/3) = √3/2 is x = -π/2.

Please note that the solution may have multiple values depending on the range of x. In this case, we have found one possible value for x.

Let me know if you have any further questions!