Question

trigonometric ratios
sheet 1
1)
the leg opposite to \\( \theta \\) is
the leg adjacent to \\( \theta \\) is
the hypotenuse is

Explanation:

Step1: Identify the opposite side

In a right - triangle, the side opposite an angle is the one that does not form the angle. For angle \(\theta\) (at \(Y\)), the side opposite is \(XZ\).

Step2: Identify the adjacent side

The adjacent side to an angle is the non - hypotenuse side that forms the angle. For angle \(\theta\) (at \(Y\)), the adjacent side is \(XY\).

Step3: Identify the hypotenuse

The hypotenuse is the longest side of a right - triangle, opposite the right angle. In \(\triangle XYZ\) with right angle at \(X\), the hypotenuse is \(YZ\).

Answer:

The leg opposite to \(\theta\) is \(XZ\). The leg adjacent to \(\theta\) is \(XY\). The hypotenuse is \(YZ\).