## Trigonometry (10th Edition)

2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' $\approx$ 0
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