Question

Find the inverse laplace transform of cot^-1s

Answer 1

tan(1s)

Step-by-step explanation:

Inverse.

• The inverse trigonometric functions are the Inverse functions of trigonometric functions. specifically, they are the inverses of the sine, cosine, tangent, co tangent, secant and co secant functions.  

•       For example ⇒   For   $tan^-{1}$ x = $\frac{1}{tan}$  x = cot x  

                                           For  x = $cot^-{1}$ x =$\frac{1}{cotx} = tanx$  

•             Here  $cot^-{1}$ (1s).  

                      = $\frac{1}{cot(1s)}$

                      = $tan(1s)$

•   Therefore $cot^-{1s}$  = tan(1s).