The trigonometry expression for sin i in its simplest term is
Trigonometric ratios
In mathematics, trigonometric ratios are relationships in between the angles and the sides of a right-angled triangle. In a right-angled triangle, an angle is 90 degrees, and the other two angles shares 90 degrees, to complete the 180 degrees in a triangle. Also, there are three sides in a triangle; the hypotenuse, the opposite, and the adjacent.
From the given triangle, let's first find the hypotenuse using Pythagoras rule;
hyp² = opp² + adj²
hyp² = √(2)² + √(62)²
hyp² = 2 + 62
hyp² = 64
hyp = √64
hyp = 8
The trigonometry ratio for sin θ = opposite/hypotenuse. Therefore;