The statement “tan (theta) =-12/5,csc (theta) =-13/5 ,and the terminal point determined by theta is in quadrant 3"

A. cannot be true because 12^2 + 5^2 does not equal 1.
B. cannot be true because if tan theta = -12/5, then csc theta = plus or minus 13/5.
C. cannot be true because tan theta must be less than 1.
D. cannot be true because tan theta is greater than zero in quadrant 3.

Question

The statement “tan (theta) =-12/5,csc (theta) =-13/5 ,and the terminal point determined by theta is in quadrant 3"

A. cannot be true because 12^2 + 5^2 does not equal 1.
B. cannot be true because if tan theta = -12/5, then csc theta = plus or minus 13/5.
C. cannot be true because tan theta must be less than 1.
D. cannot be true because tan theta is greater than zero in quadrant 3.

Vocaloid · Answer

try drawing out the triangle in Q3 with the theta value labelled, along with the opposite and adjacent values given in the problem. you'll notice some inconsistency in either the values, or the signs