Question

Determine csc 0 given the following function: cot0=8/6

Answer 1

Answer:

  5/3

Step-by-step explanation:

For this, the useful relation is ...

  $\cot^2{(\theta)}+1=\csc^2{(\theta)}\\\\\left(\dfrac{8}{6}\right)^2+1=\csc^2{(\theta)}\\\\\dfrac{64+36}{36}=\csc^2{(\theta)}\\\\\sqrt{\dfrac{100}{36}}=\dfrac{10}{6}=\boxed{\dfrac{5}{3}=\csc{(\theta)}}$