In ΔDEF, what is sin D, in simplified form?
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Answer: second option.
Step-by-step explanation:
You must apply [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:
[tex]opposite=20\\hypotenuse=25[/tex]
Therefore, when you substitute values, you have:
[tex]sinD=\frac{20}{25}[/tex]
Reduce the fraction, then you obtain:
[tex]sinD=\frac{4}{5}[/tex]
Answer:
The correct answer is second option
Sin D = 4/5
Step-by-step explanation:
Trigonometric ratio
Sinθ = Opposite side/Hypotenuse
From the figure we can see a right angled triangle DEF
Right angled at F and ED is the hypotenuse
To find the simplified form of Sin D
Sin D = Opposite side/Hypotenuse
= 20/25 = 4/5
Therefore the value of Sin D = 4/5
The correct answer is second option