Question

the statement cot theta=12/5 sec theta= -13/5 and the terminal point determined by theta is in quadrant 4

Answer 1

Answer:

The statement  cot theta=12/5 sec theta= -13/5 and the terminal point determined by theta is in quadrant 4 is:

FALSE STATEMENT

Step-by-step explanation:

We are given an angle theta(θ) such that at that angle the value of two trignometric function are given as follows:

$\cot \theta=\dfrac{12}{5}\\\\and\\\\\\\sec \theta=\dfrac{-13}{5}$

and the terminal point  determined by theta is in quadrant 4.

As we know that in fourth quadrant both the cosine as well as secant function is positive whereas the other trignometric function are negative but here the secant function is given negative which is a contradiction to our statement.

Hence, the given statement is a FALSE STATEMENT.

Answer 2

cannot be true because secant theta is greater than zero in quadrant 4