Answer:
The value of [tex]cos\theta[/tex] would be Base/Hypotenuse = EF/DF
Step-by-step explanation:
In figure, we are given a triangle
There is a 90 degree angle in the triangle. Therefore, the triangle is a right triangle.
In a right triangle,
[tex]Sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
[tex]Cos\theta = \frac{Base}{Hypotenuse}[/tex]
[tex]Tan\theta = \frac{Perpendicular}{Base}[/tex]
In triangle, the side with right angle and given angle is called base, Therefore
Base = EF
The side opposite to the right angle is called the hypotenuse, so
Hypotenuse = DF
and
Perpendicular = DE
Therefore, the value of [tex]cos\theta[/tex] would be Base/Hypotenuse = EF/DF
