## Trigonometry 7th Edition

$\tan19^{\circ}45′$ = 0.3590
First we will convert $19^{\circ}45′$ to decimal degrees, let's break it as- $19^{\circ}45′$ = $19^{\circ}$ + $45′$ Now on dividing 45′ by 60, we have the number of "decimal degrees" equivalent to 45′ (as $1^{\circ}$=60′) Therefore $19^{\circ}45′$ = $19^{\circ} + (\frac{45}{60})^{\circ}$ $19^{\circ}45′$ = $19^{\circ} + 0.75^{\circ}$ $19^{\circ}45′$ = $19.75^{\circ}$ Now Using calculator in degree mode- $\tan 19.75^{\circ}$ = 0.3590366866 Rounding it to four places past the decimal point- $\tan 19.75^{\circ}$ = 0.3590 Therefore- $\tan19^{\circ}45′$ = 0.3590