1.

Which of the following is positive? sin(-310°) or sin(310°)

Answer»

Since 270° <310° <360°, 

310° lies in the 4th quadrant. 

∴ sin (310°) < 0 

-310° = -360°+ 50° 

∴ 50° and – 310° are co-terminal angles. 

Since 0° < 50° < 90°, 50° lies in the 1st quadrant

∴ – 310° lies in the 1st quadrant. 

∴ sin (- 310°) > 0 

∴ sin (- 310°) is positive.



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