Respuesta :

The values of the three trigonometric ratios for angle L, in simplest form, are:

  1. [tex]sin(L)=\frac{4}{5}[/tex]
  2. [tex]cos(L)=\frac{3}{5}[/tex]
  3. [tex]tan(L)=\frac{4}{3}[/tex]

To find the values of the three trigonometric ratios for angle L, in the simplest form:

Given -

The triangle LMN is given in the question.

  • The measurement of side LM is 15 units
  • The measurement of side LN is 25 units
  • The measurement of side MN is 20 units

As the trigonometric properties of a triangle state that the value of sin, cos, and tan for the respective angle can be written as:

  • sin(L) = perpendicular / hypotenuse
  • cos(L) = base / hypotenuse
  • tan(L) = perpendicular / base

Using the above trigonometric properties, the value of sin(L):

  • [tex]sin(L) =\frac{20}{25} =\frac{4}{5}[/tex]

Similarly, the value of cos(L):

  • [tex]cos(L)=\frac{15}{25} =\frac{3}{5}[/tex]

And, the value of tan(L) is:

  • [tex]tan(L)=\frac{20}{15} =\frac{4}{3}[/tex]

Therefore, the values of the three trigonometric ratios for angle L, in simplest form, are:

  1. [tex]sin(L)=\frac{4}{5}[/tex]
  2. [tex]cos(L)=\frac{3}{5}[/tex]
  3. [tex]tan(L)=\frac{4}{3}[/tex]

Know more about trigonometric ratios here:

https://brainly.com/question/1201366

#SPJ4

The question you are looking for is given below:

What are the values of the three trigonometric ratios for angle L, in simplest form?

Ver imagen tutorconsortium33

Otras preguntas