Question

If sin 0 = 7/25, find csc 0

Answer 1

The answer is 25/7

Explanation:

Given sin theta = 7/25;

Cosec of any variable is the reciprocal of sin of the variable. Therefore cosec theta = 1/sin theta

Substituting the value of sim theta given in the formula for cosec theta gives;

Cosec theta = 1/(7/25)

Cosec theta = 1÷7/25

Cosec theta = 1× 25/7

Cosec theta = 25/7

Answer 2

`csc(\theta)=(25)/(7)`

Explanation:

We know that:

`sin(\theta)=(7)/(25)`

And we want to find:

`csc(\theta)`

Remember that there is a trigonometric identity that relates the
`sin(\theta)` function with the
`csc(\theta)` function

`csc(\theta)=(1)/(sin(\theta))`

Then if
`sin(\theta)=(7)/(25)` this means that:

`csc(\theta)=(1)/((7)/(25))`

Finally:

`csc(\theta)=(25)/(7)`