Finding the larger angle A where csc A = 5.7023

[DethRose]

one more trig problem!

Ok here's the only question i can't figure out on my assignment:

Determine the larger angle A in the range 0<A<2pie. Round answer to 4 decimal places.

csc A = 5.7023

A = ________(radians)


what i did was pie-5.7023 but that didnt give the correct answer

help please

 

[dextercioby]

U can't use the calculator directly.What's the definition of cosecant..?

Daniel.

 

[here]

cosecant(x)= 1/sin(x)

 

[DethRose]

its inverse cos

 

[dextercioby]

No,it's inverse (one over) sinus.It's pretty delusive,but that's the definition.

Daniel.

 

[here]

cosecant= 1/sin
secant=1/cos
cot=1/tan

 

[DethRose]

so how do i use that to solve this question?

 

[dextercioby]

Can u solve this equation
$$\frac{1}{\sin x}=5.7023$$

in the domain the problem is asking you to do it...?

Daniel.

 

[faust9]

so how do i use that to solve this question?

Algebra is the short answer.

1/(sin x)=a thus (sin x)=1/a

Use the value the problem gave directly. This will yield some angle (in radians). find the second angle using the proporties of sin i.e. where in the 4 quadrants is sin + and where is it negative.

 

[here]

how do you attach something

 

[dextercioby]

Right below the blank "window" in which u write the text/body of the message u have the "Additional Options" menu where u'll find "Manage Attachments".Take a good look at the list of supported formats/extensions and keep in mind that anything over 50KB will not be uploaded;


Daniel.