Your x-coordinate of the given point contains a non-readable character, is it (√12,5) ?
If so, then
tanØ = 5/√12
If it is something else, then
tanØ is simply y/x
If so, then
tanØ = 5/√12
If it is something else, then
tanØ is simply y/x
First, we need to determine the values of sine and cosine from the given point (-12, 5). In standard position, the x-coordinate represents the cosine value, and the y-coordinate represents the sine value.
Given: (x, y) = (-12, 5)
To find the sine value:
sin θ = y / r, where r is the distance from the origin to the point (-12, 5). Applying the Pythagorean theorem:
r = sqrt(x^2 + y^2)
r = sqrt((-12)^2 + 5^2)
r = sqrt(144 + 25)
r = sqrt(169)
r = 13
sin θ = y / r
sin θ = 5 / 13
To find the cosine value:
cos θ = x / r
cos θ = -12 / 13
Now that we have the values for sine and cosine, we can find the tangent value:
tan θ = sin θ / cos θ
tan θ = (5 / 13) / (-12 / 13)
tan θ = 5 / (-12)
tan θ = -5/12
Therefore, the value of tan θ is -5/12.