How do you graph $y = \frac{3}{2} cot (\frac{π}{2}) x$ $y = 3/2 cot( pi/2) x$ ?

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How do you graph $y = \frac{3}{2} cot (\frac{π}{2}) x$ $y = 3/2 cot( pi/2) x$ ?

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Answer 1 · 2015-10-13T15:04:29

it is a strait line graph with a very steep positive gradient.

Did you mean $y = \frac{3}{2} cot [(\frac{π}{2}) x] = \frac{3}{2} cot (\frac{π x}{2})$ $y = 3/2 cot[ (pi/2)x] = 3/2 cot((pix)/2)$ ?

Explanation:

If you did mean that it should be $cot (\frac{π x}{2})$ $cot((pix)/2)$ then this is a very different question!!!
graph of $y = \frac{3}{2} \times cot (\frac{π x}{2})$ $y = 3/2 times cot((pix)/2)$
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Consider the presented question of $y = \frac{3}{2} \times cot (\frac{π}{2}) \times x$ $y= 3/2 times cot(pi/2) times x$

$\frac{3}{2}$ $3/2$ is a constant

$\frac{π}{2}$ $pi/2$ is a constant so $cot (\frac{π}{2})$ $cot(pi/2)$ is also a constant

The result is that $x$ $x$ is multiplied by some constant.

The thing is, are you measuring the angle in degrees or radians?

Note: cot = $\frac{1}{tan}$ $1/tan$ so in effect you have:

$y = \frac{3}{2} \times \frac{x}{tan (\frac{π}{2})} = \frac{3 x}{2 tan (\frac{π}{2})}$ $y = 3/2 times x/(tan(pi/2)) = (3x)/(2 tan(pi/2))$

which may also be written as:

$y = \frac{3}{2 tan (\frac{π}{2})} x$ $y = 3/(2 tan(pi/2))" " x$

If just degrees then you would be looking at:

$y ~= 3/(2 times 0.055...) x$

$y ~= 54.7 x$ to 1 decimal place.

If on the other hand you are measuring in radians and we have say $(pi " radians")/2$ then it is $(180^0)/2 -> tan(90^0)$ which is a problem!!!

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How do you graph $y = \frac{3}{2} cot (\frac{π}{2}) x$ $y = 3/2 cot( pi/2) x$ ?

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Explanation:

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How do you graph $y = \frac{3}{2} cot (\frac{π}{2}) x$ $y = 3/2 cot( pi/2) x$ ?