Find the value of $cot(45^circ)$ on the unit circle.

Answer 1

To find $\cot(45^\circ)$ on the unit circle, we start by recalling that cotangent is the reciprocal of the tangent function.

Given:

$\cot(\theta) = \frac{1}{\tan(\theta)} $

For $\theta = 45^\circ$:

$\tan(45^\circ) = 1 $

Thus,

$\cot(45^\circ) = \frac{1}{1} = 1 $

Hence, the value of $\cot(45^\circ)$ is 1.

Answer 2

To determine the value of $cot(45^circ)$ on the unit circle, we use the definition of cotangent:

$cot( heta) = frac{cos( heta)}{sin( heta)} $

For $ heta = 45^circ$, the values are:

$cos(45^circ) = sin(45^circ) = frac{sqrt{2}}{2} $

Thus,

$cot(45^circ) = frac{frac{sqrt{2}}{2}}{frac{sqrt{2}}{2}} = 1 $

Therefore, $cot(45^circ)$ equals 1.

Answer 3

To find $cot(45^circ)$, we use the formula:

$cot( heta) = frac{1}{ an( heta)} $

Since $ an(45^circ) = 1$,

$cot(45^circ) = 1 $

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