For the given angle x, sin x = 1/√2, cos x = 1/√2, and tan x = 1. These trigonometric ratios define the relationships between the sides of the right-angled triangle in the figure.
In the figure below, sin x, cos x, and tan x are the trigonometric ratios of the angle x. They are defined as follows:
sin x: the ratio of the length of the side opposite to x to the length of the hypotenuse. In this case, sin x = 1/√2.
cos x: the ratio of the length of the side adjacent to x to the length of the hypotenuse. In this case, cos x = 1/√2.
tan x: the ratio of the length of the side opposite to x to the length of the side adjacent to x. In this case, tan x = 1/1 = 1.