The value of tanΘ for an angle whose terminal side passes through the point P(-3,-4) is found by calculating the ratio of the y-coordinate to the x-coordinate, which gives tanΘ = 4/3.
Step-by-step explanation:
The question asks us to find the value of tanΘ given that the terminal side of an angle in standard position passes through the point P(-3,-4). In a rectangular coordinate system, the tangent of an angle Θ is the ratio of the y-coordinate to the x-coordinate of a point on the terminal side of an angle in standard position. Thus, we can calculate tanΘ using the coordinates of point P.
Using the formula tanΘ = y/x, we substitute the values from point P:
tanΘ = (-4)/(-3)
tanΘ = 4/3
Therefore, the value of tanΘ is 4/3.