The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of sinθ can be written as (15/17).
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
[tex]\rm{Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,
Hypotenuse = √(15²+8²) = 17 units
Further, the value of sinθ can be written as (15/17).
Learn more about Sine:
https://brainly.com/question/21286835
#SPJ1
