Question

If tan 0= -(3)/(8), which expression is equivalent to cot 0 ?

Answer 1

tan x = sin x / cos x

cot x = cos x/ sin x

We can see that tan and cot are reciprocal.

So, if tan(O)  = -(3)/(8), then cot(O) = - (8)/3.

Answer 2

Answer:

Hence, the answer is:

      $\cot O=\dfrac{1}{\dfrac{-3}{8}}$ or  $\cot 0=\dfrac{-8}{3}$

Step-by-step explanation:

We know that the tangent trignometric function and the cotangent trignometric function is given by:

         $\tan x=\dfrac{1}{\cot x}$

i.e. the tangent function and the cotangent function are inverse of each other.

We are given tangent of an angle O as:

$\tan 0=\dfrac{-3}{8}$

Hence, we have:

$\cot O=\dfrac{1}{\tan O}\\\\i.e.\\\\\cot O=\dfrac{1}{\dfrac{-3}{8}}\\\\i.e.\\\\\cot O=\dfrac{8}{-3}\\\\i.e.\\\\\cot 0=\dfrac{-8}{3}$