Answer :
Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
Consider the below figure attached with this question.
From the figure it is clear that DF = 7 units and EF = 24 units.
According to the Pythagoras theorem, in a right angled triangle
[tex]hypotenuse^2=perpendicular^2+base^2[/tex]
Using Pythagoras theorem, we get
[tex]D E^2=E F^2+D F^2[/tex]
[tex]D E^2=24^2+7^2[/tex]
[tex]D E^2=625[/tex]
Taking square root on both sides.
[tex]D E=25[/tex]
In a right angle triangle
[tex]\sin \theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\tan \theta = \dfrac{opposite}{adjacent}[/tex]
Using these ratio we get
[tex]\sin (D)=\dfrac{EF}{DE}=\dfrac{24}{25}[/tex]
[tex]\cos (E)=\dfrac{EF}{DE}=\dfrac{24}{25}[/tex]
[tex]\tan (D)=\dfrac{EF}{DF}=\dfrac{24}{7}[/tex]
[tex]\sin (E)=\dfrac{DF}{DE}=\dfrac{7}{25}[/tex]
Therefore, the correct options are 1, 3 and 4.
