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hannahgrace325
19.03.2020 •
Mathematics
Right △EFG has its right angle at G, EF=8 , and FG=6 . 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.
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Ответ:
e are required to find;
Tan G
cos E
sec G
The answers tot the question are;
Tan E = 3/√7
Cos E = √7/4
Sec F = 4/3.
Step-by-step explanation:
To solve the question, we note that the triangle has the following angles and sides
FG = 6 EF =8 and angle G = 90°
The third side of the right angled triangle is therefore GE
The side EF is the hypotenuse side as it is opposite the right angle (angle 90) in the triangle
Therefore the length of the side GE is given by
GE =
=
= √28 = 2√7
Therefore the trigonometric ratios are as follows
Tan E
Tan E is given by Tan E =
= FG/GE = 3/√7
cos E
Cos E is given by Cos E =
= GE/EF = 1√7/4
sec F
Sec F = 1/(cos F) = 1÷
= EF/FG = 8/6 =4/3.
Ответ: