Answer:
Step-by-step explanation:
The hypotenuse of the triangle is hyp = 29
For angle D, the opposite is opp = 20.
sin D = opp/hyp = 20/29
Use Pythegorium theorem, DF = [tex]\sqrt{29^{2}-20^{2}} = 21[/tex]
For angle D, DF is adjacent side (adj) = 21
cos D = adj/hyp = 21/29
tan D = sin D/cos D = (20/29)/(21/29) = 20/21
Or tan D = opp/adj = 20/21
Since D + E = 90 degrees, so
sin E = cos D = 21/29
cos E = sin D = 20/29
tan E = 1/tan D = 21/20
