Find the Larger Angle A in 0<A<2pie with csc A = 5.7023 | Math Help

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To find the larger angle A in the range 0<A<2π with csc A = 5.7023, first recognize that csc A is the reciprocal of sin A. This means sin A = 1/5.7023, which can be calculated to find the angle A. The sine function is positive in the first and second quadrants, so after determining the reference angle, the larger angle can be found by using the property that sin(π - x) gives the second solution. The final answer should be rounded to four decimal places.
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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
 
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U can't use the calculator directly.What's the definition of cosecant..?

Daniel.
 
cosecant(x)= 1/sin(x)
 
its inverse cos
 
No,it's inverse (one over) sinus.It's pretty delusive,but that's the definition.

Daniel.
 
cosecant= 1/sin
secant=1/cos
cot=1/tan
 
so how do i use that to solve this question?
 
Can u solve this equation
\frac{1}{\sin x}=5.7023

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

Daniel.
 
DethRose said:
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.
 
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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.
 
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