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प्रश्न
Answer the following:
Which is greater sin(1856°) or sin(2006°)?
उत्तर
1856° = 5 × 360° + 56°
∴ 1856° and 56° are co-terminal angles.
Since 0° < 56° < 90°,
56° lies in the first quadrant.
∴ 1856° lies in the first quadrant.
∴ sin 1856° > 0 ....(i)
2006° = 5 × 360° +206°
2006° and 206° are co-terminal angles.
Since 180° < 206° < 270°,
206° lies in the third quadrant.
∴ 2006° lies in the third quadrant.
∴ sin 2006° < 0 .....(ii)
From (i) and (ii),
sin 1856° is greater.
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