Solve (tan(5/4pi))

$$( \tan ( \frac { 5 } { 4 } \pi ) )$$

Evaluate

$$1$$

Solution Steps

Use \tan(x+y)=\frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)} where x=\pi and y=\frac{\pi }{4} to obtain the result.

$$\tan(\pi +\frac{\pi }{4})=\frac{\tan(\pi )+\tan(\frac{\pi }{4})}{1-\tan(\pi )\tan(\frac{\pi }{4})}$$

Get the value of \tan(\pi ) from trigonometric values table. Replace the value in both the numerator and the denominator.

$$\frac{0+\tan(\frac{\pi }{4})}{1-0\tan(\frac{\pi }{4})}$$

Get the value of \tan(\frac{\pi }{4}) from trigonometric values table. Replace the value in both the numerator and the denominator.

$$\frac{0+1}{1-0\times 1}$$

Do the calculations.

$$1$$

Factor

$$1$$