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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

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 W class=

Sagot :

The equation is the given one:

[tex]\cot 2\theta=\frac{A-C}{B}[/tex]

Which is the same as:

[tex]\tan 2\theta=\frac{B}{A-C}[/tex]

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

So the statement is True.