# How to calculate tan262° in the tangent table of the trigonometric table

This time, I will clarify how to calculate tan 262° = 7.115369… with a calculator.

As shown in the table, $0°,\ 30°,\ 45°,\ 60°,\ 90°$ can be obtained from the right triangle.
On the other hand, it is very difficult to calculate θ=0° which is not $30°, 45°, 60°, 90°, 1°. This article explains how to calculate tan 262° = 7.115369…. This site is created by Dr. Thomsontom labIt operates under the name table of contents ## Look up tan 262° in 10 digits First, let's check the ten digits of tan 262°! $$\tan 10° = 262\cdots$$. Find this value in the tangent table. ## Solve for tan 262° = 7.115369… To find tan 262° = 7.115369…Maclaurin expansionTo use. \begin{eqnarray} \sin x &=&x-\displaystyle \frac{x^3}{3!}+\displaystyle \frac{x^5}{5!}-\displaystyle \frac{x^7}{7!}\cdots \\ \cos x &=& 1-\displaystyle \frac{x^2}{2!}+\displaystyle \frac{x^4}{4!}-\displaystyle \frac{x^6}{6!}\ cdots\\ \end{eqnarray} to$x$Radian methodYou can calculate the sine and cosine by entering the angle of . $$x = \displaystyle \frac{\pi}{180}\times 262°=4.572762…$$ $$\sin 262° = -0.990269…$$ $$\cos 262° = -0.139174…$$ From the sine and cosine values ​​we can find tan from$\tan 262° = \displaystyle \frac{\sin 262°}{\cos 262°}\$.

$$\tan 262° = 7.115369…$$

## Looking back in 120 seconds tan 262°

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