Find the function of the form y = tan kx

In summary, the function y = tan kx that passes through (290 degrees, -1) has a constant of k = -pi/13050.
  • #1
Lepton_dyson
3
0

Homework Statement



Find the function of the form y = tan kx that pass through (290 degrees, -1)

Homework Equations



y = tan kx

The Attempt at a Solution



y = tan kx
-1 = tan k(290 degrees)
arctan(-1) = k290 degrees
-pi/4 = K 290

I don't know where to go from here, or even if this is right...do I try to convert 290 to a rad approximation?? I'm doing this course online and they give very little explanation...Any help is much appreciated!
Thanks!
 
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  • #2
Welcome to PF!

Hi Lepton_dyson! Welcome to PF! :wink:
Lepton_dyson said:
arctan(-1) = k290 degrees
-pi/4 = K 290

Make up your mind! :rolleyes:

If you have degrees on the RHS, you must have degrees (-45 of 'em) on the LHS also. :smile:
 
  • #3


tiny-tim said:
Hi Lepton_dyson! Welcome to PF! :wink:


Make up your mind! :rolleyes:

If you have degrees on the RHS, you must have degrees (-45 of 'em) on the LHS also. :smile:

Thanks for the welcome!
Then I just multiply them? so -45(290) = -13050?
y = tan -13050 x -------I just didn't think that looked right...is it?

Thanks for the help!
 
  • #4
Lepton_dyson said:
Then I just multiply them?!

divide :wink:

and conquer! :biggrin:
 
  • #5
tiny-tim said:
divide :wink:

and conquer! :biggrin:

Cool thanks for your help!
 

Related to Find the function of the form y = tan kx

1. What does the "k" represent in the function y = tan kx?

The "k" in the function y = tan kx represents the constant in the argument of the tangent function. It determines the rate of change and the shape of the graph.

2. How do you find the period of the function y = tan kx?

The period of y = tan kx is equal to π/k. This means that as k increases, the period of the function decreases, and as k decreases, the period increases.

3. Can the function y = tan kx have a negative period?

No, the period of y = tan kx can only be positive. This is because the tangent function is symmetric about the y-axis, so it cannot have a negative period.

4. What is the range of the function y = tan kx?

The range of y = tan kx is all real numbers except for the values where the function is undefined, which occur at every π/2 units. This is because the tangent function has vertical asymptotes at these points.

5. How does changing the value of k affect the graph of y = tan kx?

The value of k determines the slope of the tangent function, so changing it will cause the graph to become steeper or flatter. A larger value of k will result in a steeper graph, while a smaller value of k will result in a flatter graph.

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