Question

cos80 + $\sqrt[2]{3}$ .sin80 neye eşittir

Comments

$cos80+\sqrt 3.sin80=A$ olsun

$\frac{1}{2}.cos80+\frac {\sqrt 3}{2}.sin80=\frac{1}{2}A$  olur ve;

$sin30=\frac{1}{2}$

$cos30=\frac {\sqrt 3}{2}$  oldugundan

$sin30.cos80+cos30.sin80=\frac{1}{2}A$ buda

$sinx.cosy+siny.cosx=sin(x+y)$ kuralından

$sin110=\frac{1}{2}A$  ve $A=2.sin110$

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