How do I solve this equation? cosec(x) = -1.0457 I have no idea how to do

Mathematics
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How do I solve this equation? cosec(x) = -1.0457 I have no idea how to do???

Dec 30th, 2014

Cosecant is the inverse of the sine function. This means that:

Cosec=1/sin. 
If we plug this into the equation, we get:
1/sin=-1.0457
Now we solve for sin. 
1. Multiply both sides by sin:
1=sin*-1.0457
2. Divide both sides by -1.0457:
sin=1/-1.0457
3. Simplify
sin=-0.9563
Now, to the find the angle whose sin is about -0.9563, we take the arcsin, or inverse sin
If we do this we get the measure of the angle as -72.99852269384695. So the answer is 73°. 
Hope this helped, thanks!
Dec 30th, 2014

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Dec 30th, 2014
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