Problem :
Why do the following pairs of functions always have the same sign: sine
and cosecant, cosine and secant, tangent and cotangent?
These function pairs are reciprocals.
Problem :
In which quadrant do the most trigonometric
functions have negative signs?
In quadrants II, III, and IV, four out of the six trigonometric functions have
negative signs. In quadrant I none of the trigonometric functions have negative
signs. Quadrants II, III, and IV are tied for having the most trigonometric
function with negative signs.
Problem :
Which value in the following group is not equal to the others:
sin(),
cos(Π), cot(), sec(0)?
sec(0) = 1. The rest are equal to -1.
Problem :
When θ = Π, which two trigonometric functions are undefined?
Cosecant and cotangent