Question

If csc B = b, which number below is not a possible value of b?

-1.75
0.5
1
1.05

Answer 1

By definition, the cosecant is the inverse of the sine:

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

Since the sine is never more than 1, the cosecant can never be smaller than 1.

So, the only impossible option is 0.5.

Answer 2

0.5

Explanation:

`\csc B=(1)/(\sin B)\\\\-1\leq\sin B\leq1,\ \text{therefore}\ \csc B\leq-1\ or\ \csc B\geq1\\\\-1.75\leq-1\\\\0.5\to \bold{ANSWER}\\\\1\geq1\\\\1.05\geq1`