Respuesta :

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]