Answer
2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' $\approx$ 0
Work Step by Step
2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26'
Convert minutes to decimals:
$\frac{13}{60}$ = 0.2166
$\frac{13}{60}$ = 0.2166
$\frac{26}{60}$ = 0.4333
Therefore:
2 $\sin$ 36.2166$^{\circ}$ $\cos$ 25.2166$^{\circ}$ - $\sin$ 50.4333$^{\circ}$
Utilizing a calculator:
2 $\sin$ 36.2166$^{\circ}$ $\cos$ 25.2166$^{\circ}$ - $\sin$ 50.4333$^{\circ}$
$\approx$ (0.8521)(0.9047) - 0.7709
$\approx$ 0.7709 - 0.7709
$\approx$ 0
Therefore:
2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' $\approx$ 0
