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 .
\(sin\theta = \frac{Perpendicular}{Hypotenuse}\)
As given
\(sin\ M = \frac{LN}{MN}\)
\(sin\ M = \frac{759}{1000}\)
Perpendicular (LN)= 759 units
Hypotenuse (MN) = 1000 units
Now by using the trignometric identity .
\(cos\theta = \frac{Base}{Hypotenuse}\)
\(cos\ N = \frac{LN}{MN}\)
As
LN = 759 units
MN = 1000 units
Put in the above
\(cos\ N = \frac{759}{1000}\)
cos N = 0.759
Therefore the value of the cos N is 0.759 .
