csc(x) is positive in quadrants I and II.
What is quadrant?
- "It is the area contained by the x and y axes."
- "There are four quadrants in a graph."
What is cosine of angle?
"For an acute angle x, [tex]csc(x)=\frac{1}{sin(x)}[/tex]"
For given question,
We know that the ASTC rule.
The abbreviation for 'all sin cos tan' rule in trigonometry.
According to this rule,
- All trigonometric functions are always positive in the first quadrant.
- sine and cosine functions are always in the second quadrant.
- tan and cot functions are always in the third quadrant.
- sec and cosec functions are always in the fourth quadrant.
Therefore, csc(x) is positive in quadrants I and II.
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