Answer:
tan(θ - β) = 1/13
Step-by-step explanation:
To get the value of the tan of the difference between the angles, we will use the formula attached in the image.
Now, we are given that:
tanθ = 3/5
tanβ =1/2
Substitute with the givens in the formula to get tan(θ - β) as follows:
tan(θ - β) = [(3/5)-(1/2)] / [1 + (3/5)(1/2)]
tan(θ - β) = (1/10) / (13/10)
tan(θ - β) = 1/13
Hope this helps :)