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numerical value of tan theta.Find the largest angle for which sine and tangent agree to within

two significant figures.

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numerical value of tan theta.Find the largest angle for which sine and tangent agree to within

two significant figures.

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anyone??

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LowlyPion

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What do you know about the approximations that might lead you to be able to calculate it without guessing about it?

numerical value of tan theta.Find the largest angle for which sine and tangent agree to within

two significant figures.

What is the approximation of

[tex]Sin\theta \approx \Delta x[/tex]

[tex]Tan\theta \approx \Delta x[/tex]

based on?

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im not sure what you mean

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i need to submit my assignment by 7 in the morning, so if you could be more clear. Thank You

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LowlyPion

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[tex]Sin x \approx x[/tex]im not sure what you mean

Similarly

[tex]Tan x \approx \ x[/tex]

[tex]Tan x = \frac{Sin x}{Cos x} \approx \frac{x}{1 - x}[/tex]

So what is the difference between the 2? That is what you want to identify where the divergence occurs.

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LowlyPion

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This might explain it better than I can.

http://en.wikipedia.org/wiki/Small-angle_formula

I rewrote the previous equations all in x and maybe that will be less confusing.

Last edited:

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LowlyPion

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Wikipedia said:When one angle of a right triangle is small, its hypotenuse is approximately equal in length to the leg adjacent to the small angle, so the cosine is approximately 1.The short leg is approximately equal to the arc from the long leg to the hypotenuse, so the sine and tangent are both approximated by the value of the angle in radians.

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how the letter(ex:a) will be converted into waves?

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they are same in some region ,so we will concider as same

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