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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.

 Apr 30, 2024
 #1
avatar+129845 
+1

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

 

cool cool cool

 Apr 30, 2024

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