Solve tan45*5

$$\tan 45 \times 5$$

Evaluate

$$1$$

Solution Steps

Multiply 45 and 5 to get 225.

$$\tan(225)$$

Use \tan(x+y)=\frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)} where x=180 and y=45 to obtain the result.

$$\tan(180+45)=\frac{\tan(180)+\tan(45)}{1-\tan(180)\tan(45)}$$

Get the value of \tan(180) from trigonometric values table. Replace the value in both the numerator and the denominator.

$$\frac{0+\tan(45)}{1-0\tan(45)}$$

Get the value of \tan(45) from trigonometric values table. Replace the value in both the numerator and the denominator.

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

Do the calculations.

$$1$$