Find the exact values of trigonometric functions for given unit circle angles
Answer 1
Olivia Lee
Given the angle $ \theta = \frac{5\pi}{4} $, find the exact values of $ \sin(\theta) $, $ \cos(\theta) $, and $ \tan(\theta) $:
$ \sin\left(\frac{5\pi}{4}\right) = -\frac{\sqrt{2}}{2} $
$ \cos\left(\frac{5\pi}{4}\right) = -\frac{\sqrt{2}}{2} $
$ \tan\left(\frac{5\pi}{4}\right) = 1 $
Answer 2
Daniel Carter
Given the angle $ heta = frac{5pi}{4} $, find the exact values of $ sin( heta) $, $ cos( heta) $, and $ an( heta) $. Using the unit circle:
$ sinleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $
$ cosleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $
$ anleft(frac{5pi}{4}
ight) = 1 $
Answer 3
Henry Green
Given the angle $ heta = frac{5pi}{4} $:
$ sinleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $
$ cosleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $
$ anleft(frac{5pi}{4}
ight) = 1 $
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