Find the exact values of $ ext{arcsec}(2) $
Answer 1
Isabella Walker
To find the exact value of $ \text{arcsec}(2) $, we need to determine the angle $ \theta $ such that $ \sec(\theta) = 2 $ and $ \theta $ lies within the range of secant
Answer 2
Benjamin Clark
To determine the value of $ ext{arcsec}(2) $, we need to find the angle $ heta $ such that $ sec( heta) = 2 $ within $ [0, pi/2) cup (pi/2, pi] $.
Given $ cos( heta) = frac{1}{2} $, we find $ heta = frac{pi}{3} $.
Thus:
$ ext{arcsec}(2) = frac{pi}{3} $
Answer 3
Henry Green
To solve $ ext{arcsec}(2) $, find $ heta $ where $ sec( heta) = 2 $ in $ [0, pi/2) cup (pi/2, pi] $.
Since $ cos( heta) = frac{1}{2} $, $ heta = frac{pi}{3} $.
Hence:
$ ext{arcsec}(2) = frac{pi}{3} $
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