SOLUTION: if tan A>0 and (tan A)(sin A)>0, in what quadrant does angle A lie?

Question 1156807: if tan A>0 and (tan A)(sin A)>0, in what quadrant does angle A lie?
Found 3 solutions by Boreal, Alan3354, MathLover1:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
tan A >0 in the first and third quadrants (it is sin/cos)
sin A >0 in the first and third quadrants
the product is positive and is in the first quadrant.
In the third quadrant tan A is positive because sin A is - and cos A is -. Their quotient is positive,but if multiplied by the - sin A in the third quadrant, that product would be negative.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
if tan A>0 and (tan A)(sin A)>0, in what quadrant does angle A lie?
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Quad 1 2 3 4 sin + + - - tan + - + -

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

if and , in what quadrant does angle lie?
if , means only if this statement will be true

is positive in and
is positive in and
Therefore must be in .

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