The value of the three trigonometric ratios for angle L are 4/5, 3/5, and 4/3.
The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Given
The opposite side of the triangle is 20, the adjacent side is 15, and the hypotenuse is 25.
The three trigonometric ratios are given by;
[tex]\rm Sin \theta=\dfrac{Opposite}{Hypotenuse}\\\\Sin\theta=\dfrac{20}{25}\\\\Sin\theta=\dfrac{4}{5}\\\\\rm Cos\theta=\dfrac{Adjacent}{Hypotenuse}\\\\ \rm \rm Cos\theta=\dfrac{15}{25}}\\\\ \rm Cos \theta =\dfrac{3}{5}\\\\\rm Tan\theta =\dfrac{Opposite }{Adjacent}\\\\\rm Tan \theta =\dfrac{20}{15}\\\\Tan \theta=\dfrac{4}{3}[/tex]
Hence, the value of the three trigonometric ratios for angle L are 4/5, 3/5, and 4/3.
To know more about trigonometric ratios click the link given below.
https://brainly.com/question/8308608
