Answer:
[tex]\bf \sin x =\frac{3}{5}[/tex]
Step-by-step explanation:
Angle x is an acute angle in a triangle.
The measure of cosine angle is given to be :
[tex]\cos x = \frac{4}{5}[/tex]
Now, we need to find the measure of the sine angle for the same triangle.
[tex]\cos x = \frac{Base}{Hypotenuse}[/tex]
⇒ Base = 4 units and Hypotenuse = 5 units
So, Length of perpendicular = 3 units ( By using Pythagoras theorem)
[tex]\sin x=\frac{Perpendicular}{Hypotenuse}\\\\\implies\bf \sin x =\frac{3}{5}[/tex]
