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Step-by-step explanation:

[tex] \sin(x) = \frac{12}{13} [/tex]

The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

On which triangle can we apply trigonometric ratios?

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.

Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle suppose its measure is θ,

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]

Therefore, The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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