The statement tan theta -12/5, csc theta -13/12, 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.

The answer would be D. Cannot be true because tan theta is greater than zero in quadrant 3.

Option D is correct.

The given statement cannot be true because tan theta is greater than zero in quadrant 3.

Step-by-step explanation:-

In quadrant 3rd ,

Cosine and Sine both are negative and tangent is positive.

As per the statement:-

The terminal point determined by theta is in quadrant 3.

Given:-

Since, is in quadrant 3,

⇒ cannot be negative.

Therefore, the given statement cannot be true because tan theta is greater than zero in quadrant 3.

check the picture below.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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