Question

Find cot 0 if cos 0=3/13

Answer 1

3/4 root 10
you make a right triangle. use Pythagorean theorem. and find the opposite side. then reduce the radical of 160. and do tan and then flip them around to make cot.

Answer 2

Answer:

The value of:

          $\cot \theta=\dfrac{3}{4\sqrt{10}}$

Step-by-step explanation:

We are given,

$\cos \theta=\dfrac{3}{13}$

We know that cos θ is the ratio of base and hypotenuse of a right angled triangle corresponding to θ.

On applying Pythagorean Theorem in ΔABC we get:

$13^2=3^2+a^2\\\\\\i.e.\\\\\\169=9+a^2\\\\\\a^2=160\\\\\\i.e.\\\\\\a=4\sqrt{10}$

Hence, the value of $\cot \theta$ is defined as the ratio of base to perpendicular length of the triangle.

              Hence,

         $\cot \theta=\dfrac{3}{4\sqrt{10}}$