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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