Question

What are the values of cos Y
and cot x
in the triangle below?

Right triangle X Y Z is shown with labeled sides. Side X Y is the hypotenuse and it is labeled the square root of 34. Side Y Z is the height and it is labeled 3. Side Z X is the base and it is labeled 5.

Answer 1

The legs are 3 and 5 and the hypotenuse is √34. For angle Y the adjacent side is 3, so
cos Y = 3/√34 = 3√34/34.
For angle X, cot X = adjacent/opposite = 5/3.