Question

Which of the following pairs have the first function positive and the second function negative in the third quadrant?

A.) cos and sec

B.) tan and cos

C.) sin and cot

D.) csc and sin

Answer 1

orrect answer is B.) tan and cos

Answer 2

Tan and cos

Explanation:

In the third quadrant, tan is positive and cos is negative. Quadrant is a circle divided into four potion in which in each portion some of the trigonometry function are positive and others negative. This is important in determining and converting any negative angle to positive value. The value of the angle in the third quadrant is represented as (180+theta) where theta is the angle given in question.

Note that all the trigonometry values are all positive in the first quadrant thereby making tan positive in the first quadrant. Also, the only value positive in the third quadrant is tan making both sin and cos negative.