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Find the sine ratio of angle Θ. Hint—Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces

Find The Sine Ratio Of Angle Θ HintUse The Slash Symbol To Represent The Fraction Bar And Enter The Fraction With No Spaces class=

Sagot :

Answer:

sinΘ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{13}[/tex]

The sine ratio of angle Θ is [tex]\frac{12}{13}[/tex]  .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

  • sin θ = Perpendicular/Hypotenuse
  • cos θ = Base/Hypotenuse
  • tan θ = Perpendicular/Base
  • sec θ = Hypotenuse/Base
  • cosec θ = Hypotenuse/Perpendicular
  • cot θ = Base/Perpendicular  

According to the question

Sine ratio of angle Θ  

Perpendicular for angle θ = 12

Base for angle θ = 5

Hypotenuse for angle θ = 13

Now,

As per trigonometric ratios

Formula of sin θ

sin θ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]  

Substituting the value in the formula

sin θ = [tex]\frac{12}{13}[/tex]  

Hence, The sine ratio of angle Θ is [tex]\frac{12}{13}[/tex]  .

To know more about trigonometric ratios here:

https://brainly.com/question/1201366

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