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What is the exact value of csc 5pi/4?

If you can give me steps or examples to how to get the exact value that will be great.
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2 Answers

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Mina Herzog

Feb 20, 2025

csc 5pi/4=1/sin(pi+pi/4) = 1/(-sinpi/4) = -1/(1/sqrt2 )= -sqrt 2 = -1.414... Show More
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M
Mina Herzog

Feb 20, 2025

sqrt(2)Why?First we find the reciprocal of csc, which is: sin(5pi/4),Then just flip it.We know sin(5pi/4) = (sqrt2)/2 So csc(5pi/4) is simply: 2/(sqrt2) or simplified as (sqrt2)You can check these answers on a calculator for thoroughness, i did...and both decimals came out to be equal.Good luck!... Show More
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