(Reminder: sin is the height of the triangle of the unit circle and cos is the length)
The only values where a right triangle with a hypotenuse of 1 has equal lengths of legs are 45-45-90 triangles. The sin and cosine of those triangles are both 1/sqrt(2).
Since tan(x) = sin(x)/cos(x), and sin(x) = cos(x), tan(x) is just going to be 1.
sec(x) is defined as 1/cos(x). since cos(x) is 1/sqrt(2), sec(x) is just sqrt(2).
