Find the value of $ sec(frac{pi}{4}) $
Answer 1
Alex Thompson
To find the value of $ \sec(\frac{\pi}{4}) $, we first find the value of $ \cos(\frac{\pi}{4}) $. The cosine of $ \frac{\pi}{4} $ is $ \frac{\sqrt{2}}{2} $. Recall that $ \sec(x) = \frac{1}{\cos(x)} $, so:
$ \sec(\frac{\pi}{4}) = \frac{1}{\cos(\frac{\pi}{4})} = \frac{1}{\frac{\sqrt{2}}{2}} = \sqrt{2} $
Answer 2
Charlotte Davis
To calculate $ sec(0) $, we need to know the value of $ cos(0) $. We know that $ cos(0) = 1 $. By the definition of secant, $ sec(x) = frac{1}{cos(x)} $, so:
$ sec(0) = frac{1}{cos(0)} = frac{1}{1} = 1 $
Answer 3
Olivia Lee
To determine $ \sec(\frac{\pi}{3}) $, we find $ \cos(\frac{\pi}{3}) $. We know that $ \cos(\frac{\pi}{3}) = \frac{1}{2} $. Since $ \sec(x) = \frac{1}{\cos(x)} $, we get:
$$ \sec(\frac{\pi}{3}) = \frac{1}{\cos(\frac{\pi}{3})} = \frac{1}{\frac{1}{2}} = 2 $$
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