Question #58899

Just the answer please.
1: http://imgur.com/jqS3V1H
2: http://imgur.com/nKMR32j

Expert's answer

Answer on Question #58899 – Math – Trigonometry

Question

cos(19π6)=\cos \left(\frac {19\pi}{6}\right) = \underline{\hspace{2cm}}12-\frac{1}{2}12\frac{1}{2}32-\frac{\sqrt{3}}{2}32\frac{\sqrt{3}}{2}

Solution

cos(19π6)=cos(24π5π6)=cos(4π5π6)=cos(5π6)=cos(5π6)=32.\cos \left(\frac {19\pi}{6}\right) = \cos \left(\frac {24\pi - 5\pi}{6}\right) = \cos \left(4\pi - \frac {5\pi}{6}\right) = \cos \left(-\frac {5\pi}{6}\right) = \cos \left(\frac {5\pi}{6}\right) = -\frac {\sqrt {3}}{2}.


Answer: 32-\frac{\sqrt{3}}{2}.

Question

cot(25π2)=\cot \left(\frac {25\pi}{2}\right) = \underline{\hspace{2cm}}



Undefined

- 1

1

Solution

cot(25π2)=cot(24π+π2)=cot(12π+π2)=cot(π2)=0.\cot \left(\frac {25\pi}{2}\right) = \cot \left(\frac {24\pi + \pi}{2}\right) = \cot \left(12\pi + \frac {\pi}{2}\right) = \cot \left(\frac {\pi}{2}\right) = 0.


Answer: 0.

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