- #1
Nyasha
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Homework Statement
Straight line segments are drawn from the fixed point P1(0,1) and P2(3,2) to the movable point P, with coordinates (x,0)on the positive x-axis.
Assuming that 0 ≤ x ≤ 3, show that the angle θ between the two line segments PP1 and PP2 is given by the relation:
θ= π-arccotx-arccot(3-x/2)
The Attempt at a Solution
[tex]tan\theta = (3-0)/(2 - 1) = 3/2 [/tex] For PP1
[tex]\tan\theta = (3-x)/(2-0)= (3 - x)/2[/tex] For PP2
[tex]\theta = arctan(3/2) - arctan((3-x)/2)[/tex]
First of all l do not know if l am on the right path and even if l am on the right path l get stuck here. Please help