For the given triangle, the cosine of angle A equals [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.
cos A = [tex]\frac{adjacent side}{hypotenuse}[/tex].
Step 2; Length of the adjacent side = 3√3 units.
Length of the hypotenuse side = 6√3 units.
cos A = 3√3 / 6√3
cos A = [tex]\frac{1}{2}[/tex].
To check we also have A = 60° and cos 60° = [tex]\frac{1}{2}[/tex].
