Question

If sin =1/5 then calculate value of cos

Answer 1

hello mate!....


given........

$\sin(x) = \frac{1}{5} \\ \\ we \: know....... \\ \\ \sin {}^{2} x + \cos {}^{2} x = 1 \\ \\ ( \frac{1}{5} ) {}^{2} + cos {}^{2} x = 1 \\ \\ cos {}^{2} x = 1 - \frac{1}{25} \\ \\ cos {}^{2} x = \frac{25 - 1}{25} \\ \\ cos {}^{2} x = \frac{24}{25} \\ \\ cosx = \sqrt{ \frac{24}{25} } \\ \\ cosx = \frac{2 \sqrt{6} }{5}$


hope it helps u dear.......

Answer 2

Hey Mate...... here is ur answer -
Hope this helps:-)