Skip over navigation

Trigonometry: Trigonometric Functions

Problems

Functions in Quadrants

Reference Angles

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

Follow Us