Out of the given statement first statement i.e. cos 159⁰ < 0 is correct.
What is Quadrants?
Quadrant is the region enclosed by the intersection of the X-axis and the Y-axis. On the cartesian plane when the two axes, X-axis and Y-axis, intersect with each other at 90º there are four regions formed around it, and those regions are called Quadrants.
Here, angle 159⁰ lies between 90⁰ and 180⁰.
Region between 90⁰ and 180⁰ is 2nd Quadrant.
In second quadrant Sin and cosec are positive, rest all other trigonometric ratios are negative in 2nd quadrant.
Thus, cos will be negative in second quadrant. cos 159⁰ < 0.
Learn more about Quadrants from:
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