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Which is greater? sin (1856°) or sin (2006°) |
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Answer» 1856° = 5 x 360° + 56° ∴ 1856° and 56° are co-terminal angles. Since 0° < 56° < 90°, 56° lies in the 1st quadrant. ∴ 1856° lies in the 1st quadrant, ∴ sin 1856° >0 …(i) 2006° = 5 x 360° + 206° ∴ 2006° and 206° are co-terminal angles. Since 180° < 206° < 270°, 206° lies in the 3rd quadrant. ∴ 2006° lies in the 3rd quadrant, ∴ sin 2006° <0 …(ii) From (i) and (ii), sin 1856° is greater. |
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