$$ a=\sin 16^{\circ}-\sin 216^{\circ} ; $$ $$ b=\cos 130^{\circ}-\cos 296^{\circ} ; $$ $$ c=\operatorname{tg} 140^{\circ}-\operatorname{tg} 220^{\circ} \quad $$ sonlarining ishoralarini aniqlang. $$ \begin{array}{ll} ext { A) }+;+;+ & \mathrm{B})+;-;+ \ ext { C) }-;-;+ & \mathrm{D})+;-;-\end{array} $$

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$$ a=\sin 16^{\circ}-\sin 216^{\circ} ; $$ $$ b=\cos 130^{\circ}-\cos 296^{\circ} ; $$ $$ c=\operatorname{tg} 140^{\circ}-\operatorname{tg} 220^{\circ} \quad $$ sonlarining ishoralarini aniqlang. $$ \begin{array}{ll}	ext { A) }+;+;+ & \mathrm{B})+;-;+ \ 	ext { C) }-;-;+ & \mathrm{D})+;-;-\end{array} $$

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Berilgan ifodalar uchun ishoralarni aniqlash uchun har bir ifodaning qiymatini taxminan hisoblaymiz. 1. **$$ a = \sin 16^{\circ} - \sin 216^{\circ} $$** $$ \sin 16^{\circ} \approx 0.2756 $$ $$ \sin 216^{\circ} = \sin (180^{\circ} + 36^{\circ}) = -\sin 36^{\circ} \approx -0.5878 $$ Shunday qilib: $$ a \approx 0.2756 - (-0.5878) = 0.2756 + 0.5878 = 0.8634 $$ **$$a > 0$$** 2. **$$ b = \cos 130^{\circ} - \cos 296^{\circ} $$** $$ \cos 130^{\circ} = \cos (180^{\circ} - 50^{\circ}) = -\cos 50^{\circ} \approx -0.6428 $$ $$ \cos 296^{\circ} = \cos (360^{\circ} - 64^{\circ}) = \cos 64^{\circ} \approx 0.4384 $$ Shunday qilib: $$ b \approx -0.6428 - 0.4384 = -1.0812 $$ **$$b < 0$$** 3. **$$ c = \tan 140^{\circ} - \tan 220^{\circ} $$** $$ \tan 140^{\circ} = \tan (180^{\circ} - 40^{\circ}) = -\tan 40^{\circ} \approx -0.8391 $$ $$ \tan 220^{\circ} = \tan (180^{\circ} + 40^{\circ}) = \tan 40^{\circ} \approx 0.8391 $$ Shunday qilib: $$ c \approx -0.8391 - 0.8391 = -1.6782 $$ **$$c < 0$$** **Xulosa:** - $$ a > 0 $$ - $$ b < 0 $$ - $$ c < 0 $$ To'g'ri javob: **D) +; −; −** A) +; +; + B) +; −; + C) −; −; + D) +; −; − Javob: D) +; −; −

sonlarining ishoralarini
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