Question

Va rog am nevoie de ajutor!
1Calculati:
a) sinx, apoi tgx daca cos x=$\fr3}{5}$
b) cosx, apoi tgx daca sin x=$\frac{21}{25}$

2 a) Fie $\alpha$ ∈ (0° , 90°), astfel incat sin $\alpha$=$\frac{1}{3}$. Calculati tg$\alpha$, apoi ctg$\alpha$.
b) Fie $\beta$ ∈ (0° , 90°), astfel in cat tg$\beta$ = 2. Calculati sin$\beta$ , apoi cos$\beta$

3 a) 1+$tg^{2} x$=$\frac{1}{cos^{2}x }$
b) 1+$ctg^{2} x$=$\frac{1}{sin^{2}x }$
c) sinx=$\frac{1}{\sqrt{1+ctg^{2}x } }$
d)cosx=$\frac{1}{\sqrt{1+tg^{2}x } }$
e)$\frac{1-sinx}{cosx}$=$\frac{cosx}{1+sinx}$
f)$\frac{sinx}{1+cosx}$$\frac{1-cosx}{sinx}$

Answer 1

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