Determine the Sign of sin(θ) Without Using a Calculator
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This calculator determines the sign (positive or negative) of the sine function for a given angle.
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Sign of sin(θ):
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Enter an angle above to calculate.
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How This Works:
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The sine function, sin(θ), represents the y-coordinate of a point on the unit circle. The sign of sin(θ) depends on the quadrant in which the angle θ lies:
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- Quadrant I (0°–90°): sin(θ) is positive (+)
- Quadrant II (90°–180°): sin(θ) is positive (+)
- Quadrant III (180°–270°): sin(θ) is negative (−)
- Quadrant IV (270°–360°): sin(θ) is negative (−)
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For angles outside the 0°–360° range, we first find the coterminal angle within this range to determine the sign.
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