If r is a positive number and the point x y is in the indica

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.

Solution

in III quadrant both x and y will be negative.so

sec (theta) = r/x = +ve / -ve   

= -ve

[   [ sec(theta) = hypotenuse/ base,   

sec(theta) = r (radius) / x]