9: Find sinθ if cosθ=4/5 is in the first quadrant.

Answer: We have to find the sin(theta) provided the cos(theta) function, the visualization of the problem is as follows:
[tex]cos(\theta)=\frac{4}{5}[/tex]The diagram visualization is:
Therefore the x is:
[tex]x=\sqrt{5^2-4^2}=3[/tex]Therefore the answer is:
[tex]sin(\theta)=\frac{3}{5}[/tex]The answer is Option(C).