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If tan A>0, and Sin A>0 in what quadrant does terminal side of A lie ?A)IB)IIC)IIID)IV

User Hyde
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1 Answer

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To answer this question, we need to remember that the sine function of any angle is positive if the angle lies in the first or second quadrant, hence angle A has to be on the first or second quadrant. To determine in which one of this two quadrants we need to remember that the tangent function is defined as:


\tan A=(\sin A)/(\cos A)

Now, we already know that the sine is positive hence we need the cosine to be positive as well if we want the tangent to be greater than zero. The cosine function of any angle is positive on the first and fourth quadrants but we already know that A is on the first or second quadrant.

Therefore, we conclude that angle A is on the first quadrant and the answer is A

User Tsaulic
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