# How do you find the exact value of #csc^-1 0.5#?

##### 1 Answer

(a) If

(b) If *inverse* function, then there is no real value of

#### Explanation:

Actually, it depends on what you mean by using the power of

(a) On one hand,

(b) On the other hand, it might mean *inverse* function

(a) If you mean that

By definition,

Therefore,

For

(b) If you mean that the power of *inverse* function (usually, prefixed *arc-* in trigonometry, like *arcsin* or *arccsc*) then the following is true.

**angle** *cosecant* of which is equal to

That is,

From the definition of

But that equation has no solutions since

So, if you consider this second meaning of the power of