Trigonometry (CSC and TAN)

Question

Which of the following points lies in a quadrant where csc x and  tan x are both negative? 

A. (3,2)

B. (–3,2)

C. (3, –2)

D. (–3,–2)

Answer 1

Quadrant IV is where cosecants and tangents are both negative

C is correct (3, -2)

(x,y) where x >0 and y<0 will be in the 4th quadrant

tanA= y/x < 0 if x and y are opposite signs

cscA = 1/sinA = h/y <0 if y<0 as h = hypotenuse is always positive