Question
Download Solution PDFsin 10°- cos 10° का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
sin 10°- cos 10°
संकल्पना:
सूत्र cos A - cos B = \(\rm 2sin\left(\frac{A + B}{2}\right)\cdot sin\left(\frac{B - A}{2}\right)\) का प्रयोग करने पर
गणना:
sin 10°- cos 10°
= cos (90° - 10° ) - cos 10°
= cos 80° - cos 10°
\(\rm =2sin\left(\frac{80^{\circ} + 10^{\circ}}{2}\right)\cdot sin\left(\frac{10^{\circ} - 80^{\circ}}{2}\right)\)
\(\rm =2sin(45^{\circ})sin(-35^{\circ})\)
\(\rm = -\sqrt2sin(35^{\circ})\)
अतः विकल्प (2) सही है।
Last updated on Jul 4, 2025
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