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

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SUMMARY

The discussion focuses on determining the larger angle A in the range 0 < A < 2π, given that csc A = 5.7023. The correct approach involves using the definition of cosecant, which is csc A = 1/sin A. By rearranging this equation, sin A can be calculated as sin A = 1/5.7023. The larger angle can then be found by considering the properties of the sine function across the four quadrants, specifically where sine is positive and negative.

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  • Understanding of trigonometric functions, specifically cosecant and sine.
  • Knowledge of the unit circle and angle measurement in radians.
  • Familiarity with the properties of sine in different quadrants.
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  • Study the unit circle to understand angle relationships and sine values.
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DethRose
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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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how do you attach something
 
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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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