Respuesta :

Answer:

cos θ = -5/13

Step-by-step explanation:

when in quadrant II with sin θ = 12/13

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(0) is 5/13.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

Given the value of Sin(0) is (12/13). Therefore, the perpendicular is 12, while the hypotenuse is 13. Therefore, the base will be,

13² = 12² + Base²

Base = 5

The value of Cos(0) will be,

Cos(0) = 5/13

Hence, the value of cos(0) is 5/13.

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