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Daca x este masura unui unghi ascutit si tgx = [tex] \frac{1}{2} [/tex] calculati sin x ori cosx / 4sin² x + 3 cos²x.

Răspuns :

[tex]\frac{sinx*cosx }{4sin^2x+3cos^2x}= \frac{sinx*cosx }{cos^2x( \frac{4sin^2x}{cos^2x} +3)} = \frac{sinx}{cosx(4tg^2x+3)}= \frac{tgx}{4tg^2x+3} =\frac{1}{8} [/tex]