Answer:
The value of the cos N is 0.759 .
Step-by-step explanation:
As given
sin M = 0.759
As the in right triangle Δ LMN .
(Assume ∠L = 90 °)
As the diagram is given below .
Now by using the trignometric identity .
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
As given
[tex]sin\ M = \frac{LN}{MN}[/tex]
[tex]sin\ M = \frac{759}{1000}[/tex]
Perpendicular (LN)= 759 units
Hypotenuse (MN) = 1000 units
Now by using the trignometric identity .
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
[tex]cos\ N = \frac{LN}{MN}[/tex]
As
LN = 759 units
MN = 1000 units
Put in the above
[tex]cos\ N = \frac{759}{1000}[/tex]
cos N = 0.759
Therefore the value of the cos N is 0.759 .
