Respuesta :

carlosego

By definition, we have to:

[tex] sin(x) = \frac{C.O}{h} [/tex]

[tex] cos(x) = \frac{C.A}{h} [/tex]

Where,

x: angle

C.O: opposite leg

C.A: adjacent leg

h: hypotenuse

Using the definitions we have that for sin (38 °):

[tex] sin(38) = \frac{KJ}{KL} [/tex]

Then, we have the following trigonometric relationship:

[tex] cos(52)= \frac{KJ}{KL} [/tex]

Therefore, it is true that:

Sin(38) = cos(52)

Answer:

Given △JKL, sin(38°) equals:

cos(52°).

The value of Sin(38°) is equal to Cos(52°).

What are Trigonometric functions?

[tex]Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]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 to the 90° angle.

Given to us

  • ∠K = 52°,
  • ∠L = 38°

In △JKL

1. For ∠L

[tex]Sin (\angle L) = \dfrac{Perpendicular}{Hypotenuse}[/tex]

Substituting the values,

[tex]Sin (38^o) = \dfrac{KJ}{KL}[/tex]

Therefore, we need to find the value of another ratio that is equal to [tex]\dfrac{KJ}{KL}[/tex].

2. For ∠K

[tex]Cos (\angle K) = \dfrac{Base}{Hypotenuse}[/tex]

Substituting the values,

[tex]Cos (52^o) = \dfrac{KJ}{KL}[/tex]

Hence, the value of Sin(38°) is equal to Cos(52°).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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