How to calculate theta from tantheta

  • Thread starter chemboy
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In summary, The formula for calculating theta from tantheta is theta = arctan(tantheta). To find the value of theta from a given tantheta value, you can use a scientific calculator or look up the value in a table of trigonometric functions. You can also use the inverse tangent function, also known as arctan, to calculate theta from tantheta. Another method is using the inverse tangent identity, where theta = pi/2 - arctan(1/tantheta). This method is useful when the tantheta value is outside the range of -1 to 1. Alternatively, you can use a trigonometric table to look up the theta value corresponding to the given tantheta value, although this may not
  • #1
chemboy
18
0
tan theta = 0.107
Therefore theta = 6.14 degrees

How do I come to this conclusion using a calculator?

Thanks
 
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  • #2
on you calculator, there must be a button saying tan[tex]^{1}[/tex]. After pushing that, enter the tanthetha value, and you will get the angle.
 
  • #3
opps the button is tan[tex]^{-1}[/tex]
 
  • #4
pinkyjoshi65 said:
opps the button is tan[tex]^{-1}[/tex]


I thougt that was it, but my calculator returns .016594434 when tan[tex]^{-1}[/tex](.107) is entered
 
  • #5
It looks like your calculator is set to radians instead of degrees.
 
  • #6
chocokat said:
It looks like your calculator is set to radians instead of degrees.

Yes it was, thanks a million

:)
 

1. What is the formula for calculating theta from tantheta?

The formula for calculating theta from tantheta is theta = arctan(tantheta).

2. How do I find the value of theta from a given tantheta value?

To find the value of theta from a given tantheta value, you can use a scientific calculator or look up the value in a table of trigonometric functions.

3. Can I use the inverse tangent function to calculate theta from tantheta?

Yes, you can use the inverse tangent function, also known as arctan, to calculate theta from tantheta. This function is available on most scientific calculators and in many programming languages.

4. Are there any other methods for calculating theta from tantheta?

Yes, you can also use the inverse tangent identity, where theta = pi/2 - arctan(1/tantheta). This method is useful when the tantheta value is outside the range of -1 to 1.

5. Is it possible to calculate theta from tantheta without a calculator?

Yes, you can use a trigonometric table to look up the theta value corresponding to the given tantheta value. However, this method may not be as accurate as using a calculator or the inverse tangent function.

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