Verified Answer :

sin=opposite / hypotenuse
cos=adjacent / hypotenuse
tan=opposite / adjacent

Sin of A= opposite / hypotenuse
             = 4 (sides of the right triangle are congruent, it's an isoscles) / \(4* \sqrt{2}\)
              = 1/ \(\sqrt{2}\)
              = \(\sqrt{2} / 2\)

Cos of A= adjacent / hypotenuse
              = 4 / \(4* \sqrt{2}\)
              = 1/ square root of 2
              = \(\sqrt{2} / 2\)

Tan of A=opposite / adjacent
              = 4/4
              = 1

Hope this helps :)