(1 point) List all angles in radians that satisfy the equation 2cos(x)sin(x)−2‾√cos(x)=0. Each item in the list should be an expression of the form θ+kω where 0≤θ<2π, and ω is the smallest positive period of the function f(x)=2cos(x)sin(x)−2‾√cos(x), and k=⋯,−2,−1,0,1,2,⋯ ranges over the integers. Separate items by commas. Note: You are not allowed to use decimals in your answers.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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