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 : Which value in the following group has a different sign from the others: sin(), sec(), cot(), cos()?sec() is the only negative value in the group.
Problem : When θ = Π, which two trigonometric functions are undefined?Cosecant and cotangent