The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of the trigonometric ratio, Sin(∠Z) is 24/25.
What is Sine (Sinθ)?
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
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.
In ΔXYZ, for ∠Z, YZ is the base side, and XY is the perpendicular side. Therefore, the trigonometric ratio for ∠Z can be written as,
Sin(∠Z) = (XY)/(XZ)
Sin(∠Z) = 48/50
Sin(∠Z) = 24/25
Hence, the value of the trigonometric ratio, Sin(∠Z) is 24/25.
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