SOLUTION: what quadrant does 0 lie if the following statement is true csc 0 > 0 and cos 0

SOLUTION: what quadrant does 0 lie if the following statement is true csc 0 > 0 and cos 0 > 0

Question 1174797: what quadrant does 0 lie if the following statement is true
csc 0 > 0 and cos 0 > 0
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Theta is the greek letter often used with angles
The symbol for theta is

If we know that , then this also means that because
csc is shorthand for "cosecant"

Because , and , this makes y > 0 and it places our angle somewhere in quadrant I or quadrant II. This is where the terminal point has a positive y coordinate. It's somewhere above the x axis.

Furthermore, if and , then x > 0 tells us we're somewhere to the right of the y axis where x is positive.

So with x > 0 and y > 0, we know that the terminal point (x,y) is somewhere in quadrant I. This is the northeast quadrant, ie the upper-right quadrant.

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Answer: Quadrant I

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