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

Tan and cos

Step-by-step 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.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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step-by-step explanation:

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