Earlene Connelly
Dec 02, 2024
What is the exact value of csc 5pi/4?
What is the exact value of csc(5π/4)?
I would appreciate it if you could provide the steps or examples on how to determine the exact value. Thank you!
2 Answers
csc 5pi/4
=1/sin(pi+pi/4) = 1/(-sinpi/4) = -1/(1/sqrt2 )= -sqrt 2 = -1.414
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!
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