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Question
Answer the following:
Which of the following is positive? sin(−310°) or sin(310°)
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Solution
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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