Answer :
Answer: Sin N = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Since we have given that
In triangle MPN, ∠P=90°
[tex]\cos N=\frac{3}{5}[/tex]
As we know the formula for "Trigonometric Ratios":
[tex]\cos N=\frac{Base}{Hypotenuse}=\frac{3}{5}[/tex]
By Pythagorus theorem , we get
[tex]H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=\sqrt{16}\\\\P=4\ units[/tex]
So, we get,
[tex]\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}[/tex]
Hence, Sin N = [tex]\frac{4}{5}[/tex]