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A certain angle has a positive sine value and a negative tangent value. In what quadrant of the coordinate plane does the angle lie

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SOLUTION

Note that sine and tangent are both positive in the first quadrant

Note that sine is positive in the second quadrant while tangent is negative in the second quadrant.

Note that sine is negative in the third quadrant while tangent is positive in the third quadrant.

Note that both sin and tangent are negative in the fourth quadrant.

Since sine is positive in the second quadrant while tangent is negative in the second quadrat.

Therefore the required answer is SECOND QUADRANT

User Ben Roux
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