Question

Calculati ctg a, stiind ca sin a=1 pe 3

Answer 1

sin a = 1/3
$sin^2a= \frac{1}{9}$

$cos^2a=1-sin^2a= \frac{8}{9}$

$cosa= \frac{2 \sqrt{2} }{3}$

$ctga= \frac{cosa}{sina} = \frac{2 \sqrt{2} }{3}* \frac{3}{1} =2 \sqrt{2}$

Answer 2

sina=1/3
sin^2a+cos^2a=1
cos^2a=1-sin^2a
cos^2a=1-1/9
cos^2a=8/9
cosa=radical din 8/9
cosa=2√2 totul pe 3
ctga=cosa/sina
ctga=2√2;
^2(la puterea a doua)