Question

To find the angle of rotation θ between the previous x and y axes and the new x′ and y′ axes, we use the formula: cotangent of 2 theta equals A minus C all over B , where 2θ lies on the interval (0°, 180°).TrueFalse

Answer 1

The equation is the given one:

$\cot 2\theta=\frac{A-C}{B}$

Which is the same as:

$\tan 2\theta=\frac{B}{A-C}$

And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).

So the statement is True.