Answer:
[tex]Cosec\ F= 1.9697[/tex]
Step-by-step explanation:
Given
[tex]\angle H=90^\circ[/tex]
[tex]HG = 33;\ GF = 65;\ FH = 56.[/tex]
Required
The cosecant of F
See attachment for triangle illustration
Cosecant is calculated as:
[tex]Cosec\theta = \frac{Hypotenuse}{Opposite}[/tex]
So,
[tex]Cosec\ F= \frac{GF}{HG}[/tex]
So, we have:
[tex]Cosec\ F= \frac{65}{33}[/tex]
[tex]Cosec\ F= 1.9697[/tex]