Right △EFG has its right angle at F, EG=8, and FG=2.
What is the value of the trigonometric ratio of an angle of the triangle?
Drag a value to each box to match the trigonometric ratio with its value.
G
2 8
F E
FE = sqrt [ 8^2 - 2^2] = sqrt 60 = 2 sqrt 15
sin G = FE / EG = 2sqrt (15) / 8 = sqrt (15) / 4
sec G = GE / FG = 8 / 2 = 4
tan E = FG / FE = 2 / [ 2sqrt 15] = 1 /sqrt 15 = sqrt (15) / 15