Respuesta :

It's False.Sine is a trigonometric function of the angle in a right triangle is equal to the ratio of the opposite leg to the angle of the hypotenuse.

Answer:

False, The cosine of an angle is the ratio of the opposite side over the hypotenuse.

Let ΔABC is a right angled triangle, ∠C = 90°

Figure is attached.

let ∠B be [tex]\theta[/tex]

Then the trigonometric ratios are the following:

[tex]sin\,\theta=\frac{AC}{AB}[/tex]

[tex]cos\,\theta=\frac{CB}{AB}[/tex]

[tex]tan\,\theta=\frac{AC}{CB}[/tex]

[tex]cosec\,\theta=\frac{AB}{AC}[/tex]

[tex]sec\,\theta=\frac{AB}{CB}[/tex]

[tex]tan\,\theta=\frac{CB}{AC}[/tex]

So, clearly [tex]cos\,\theta=\frac{Adjacent}{Hypotenuse}[/tex]

Its [tex]sin\,\theta=\frac{Opposite}{Hypotenuse}[/tex]

Ver imagen aquialaska