The equation tan(x) = 1/2 is an illustration of a trigonometry ratio
The value of sin(x) is sin(x) = ±1/√5
The tangent ratio is given as:
tan(x) = 1/2
The tangent ratio is calculated using:
tan(x) = opposite/adjacent
So, we have:
Opposite = 1 and adjacent = 2
Calculate the hypotenuse using:
Hypotenuse² = Opposite² + adjacent²
The equation becomes
Hypotenuse² = 1² + 2²
Hypotenuse² = 5
Take the square root of both sides
Hypotenuse = ±√5
The sine ratio is:
sin(x) = Opposite/Hypotenuse
So, we have:
sin(x) = ±1/√5
Read more about trigonometry ratios at:
https://brainly.com/question/13276558
