1.

Which is greater? sin (1856°) or sin (2006°)

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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