U trokutu s kutovima
![\alpha](/media/m/f/c/3/fc35d340e96ae7906bf381cae06e4d59.png)
,
![\beta](/media/m/c/e/f/cef1e3bcf491ef3475085d09fd7d291e.png)
i
![\gamma](/media/m/2/4/a/24aca7af13a8211060a900a49ef999e9.png)
vrijedi jednakost
![\sin^2\alpha +\sin^2\beta =\sin\gamma.](/media/m/8/0/d/80d75a0d593be2a94a7153c5e9bde6d5.png)
Ako je poznato da su kutovi
![\alpha](/media/m/f/c/3/fc35d340e96ae7906bf381cae06e4d59.png)
i
![\beta](/media/m/c/e/f/cef1e3bcf491ef3475085d09fd7d291e.png)
šiljasti, dokažite da je kut
![\gamma](/media/m/2/4/a/24aca7af13a8211060a900a49ef999e9.png)
pravi.
%V0
U trokutu s kutovima $\alpha$, $\beta$ i $\gamma$ vrijedi jednakost $$\sin^2\alpha +\sin^2\beta =\sin\gamma.$$ Ako je poznato da su kutovi $\alpha$ i $\beta$ šiljasti, dokažite da je kut $\gamma$ pravi.