Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
