what is the acute angle of tan A=u/v?
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An acute angle is smaller than 90 degrees, therefore the acute angle A belongs to the interval `(0^o,90^o)` .
The acute angle A is: A = `tan^-1(u/v)` = `arctan (u/v)`
If `A=30^o =gt tan 30^o =(u/v) = (sqrt3)/3`
If `A=45^o =gt tan 45^o =(u/v) = 1`
If `A=60^o =gt tan 60^o =(u/v) = sqrt 3`
Notice that the value of the quotient `u/v` increases, if the acute angle increases.
ANSWER: A = `arctan (u/v) = tan^-1(u/v)`
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