Question

(-5,-12) find cot???????

Answer 1

In Unit Circle, we know that x-term = cos and y-term = sin

$\large \boxed{(x,y) = (cos \theta , sin \theta)}$

Recall the cotangent ratio:

$\large \boxed{cot \theta = \frac{cos \theta}{sin \theta} }$

Because cotangent is reciprocal of tangent which is sin/tan so cotangent is 1/(sin/cos) = cos/sin.

Substitute the point in.

$\large{cot \theta = \frac{ - 5}{ - 12 } \longrightarrow \frac{5}{12} }$

Answer

• cot theta = 5/12

Let me know if you have any doubts!