Question

The point P lies on the terminal side of the angle. Find the value of the trigonometric function: P(-5,5),cot (θ)Select one:a. Undefinedb. -5c. 1d. -1

Answer 1

d. -1

Step-by-step explanation:

If the coordinates of P are: P(-5, 5).

Then:

• The side length ,opposite, angle θ, y= 5

,

• The side length ,adjacent, to angle θ, x= -5

Recall that cot is the inverse of tan.

Therefore:

`\begin{gathered} \cot \theta=\frac{\text{Adjacent}}{\text{Opposite}} \\ \cot \theta=(-5)/(5) \\ \cot \theta=-1 \end{gathered}`

The value of cot θ is -1.