Convert the rectangular coordinates (4√3,−4) to polar form. Let r>0 and 0≤θ<2π. Enter your answer by filling in the boxes. Enter coordinates as simplified fractions or radicals in simplest form.

( _ , _ )

(8,150)

Step-by-step explanation:

Polar form is in,

(r,theta).

To find r, apply pythagorean theorem using both coordinates to find r.

To find theta, since we know the opposite and adjacent side, apply the tangent function.

Apply inverse tan function

Since the degrees have to be in between 0 and 360. Add 180 to -30.

So the answer is

(8,150).

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).