Use a calculator to find the value of the trigonometric function $\mathrm{sin}\left(\frac{3\pi}{10}\right)$ to four decimal places.

facas9
2021-01-31
Answered

Use a calculator to find the value of the trigonometric function $\mathrm{sin}\left(\frac{3\pi}{10}\right)$ to four decimal places.

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Ayesha Gomez

Answered 2021-02-01
Author has **104** answers

Here

Use a calculator to find the value of the given trigonometric function up-to four decimal places.

$\mathrm{sin}\left(\frac{3\pi}{10}\right)=0.8090$

Hence, the value of the given trigonometric function up to four decimal places is 0.8090

Use a calculator to find the value of the given trigonometric function up-to four decimal places.

Hence, the value of the given trigonometric function up to four decimal places is 0.8090

Jeffrey Jordon

Answered 2021-12-14
Author has **2313** answers

Answer is given below (on video)

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Is there a way to prove this relation?:

$\sum _{\text{n}=0}^{\mathrm{\infty}}\frac{1}{{\text{s}}^{2}+{(1+2\text{n})}^{2}{\omega}^{2}}=\frac{\pi \mathrm{tanh}\left(\frac{\pi \text{s}}{2\omega}\right)}{4\text{s}\omega}$

And find the conditions for which this equality hold?

$\sum _{\text{n}=0}^{\mathrm{\infty}}\frac{1}{{\text{s}}^{2}+{(1+2\text{n})}^{2}{\omega}^{2}}=\frac{\pi \mathrm{tanh}\left(\frac{\pi \text{s}}{2\omega}\right)}{4\text{s}\omega}$

And find the conditions for which this equality hold?

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