Final answer:
If sin theta = 3/5, the value of tan theta is 3/4.
Step-by-step explanation:
To find the value of tan(theta), we can use the trigonometric identity: tan(theta) = sin(theta) / cos(theta). Given that sin(theta) = 3/5, we need to find the value of cos(theta) to determine tan(theta).
To find cos(theta), we can use the Pythagorean identity: sin^2(theta) + cos^2(theta) = 1. Plugging in the value of sin(theta) as 3/5, we find that cos(theta) = 4/5.
Therefore, tan(theta) = (3/5) / (4/5) = 3/4.