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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.

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MacanthosNavacus

Answer:


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

Answer:

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:-

[tex]\tan \theta =\frac{-12}{5}[/tex]

[tex]\csc \theta = \frac{-13}{12}[/tex]

Since, [tex]\theta[/tex] is in quadrant 3,

⇒[tex]\tan \theta[/tex] cannot be negative.

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

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