MCQ
$\cos 105^\circ + \sin 105^\circ = . . . .$
- A$\frac{1}{2}$
- B$1$
- C$\sqrt 2 $
- ✓$\frac{1}{{\sqrt 2 }}$
$= \cos 15^\circ - \sin 15^\circ $
$= \frac{{\sqrt 3 + 1}}{{2\sqrt 2 }} - \frac{{\sqrt 3 - 1}}{{2\sqrt 2 }} $
$= \frac{2}{{2\sqrt 2 }} = \frac{1}{{\sqrt 2 }}$.
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વિધાન $1:$ $\left| {{Z_1} - {Z_2}} \right|\, \ge \left| {{Z_{_1}}} \right|\, - \,\left| {{Z_{_2}}} \right|$
વિધાન $2:$ $\left| {{Z_1} + {Z_2}} \right|\, \le \left| {{Z_{_1}}} \right|\, + \,\left| {{Z_{_2}}} \right|$