แบบฝึกทักษะที่ 2 จงหาผลลัพธ์ต่อไปนี้ 1) \( \sin 60^{\circ}-\cos 30^{\circ} \) 2) \( \tan 30^{\circ}+\sin 60^{\circ}-\cos 30^{\circ} \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 3) \( 3 \sin 30^{\circ}-5 \cos 60^{\circ} \) 4) \( \sin 45^{\circ} \cos 45^{\circ}-\sin 30^{\circ} \cos 60^{\circ} \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 5) \( \tan ^{2} 60^{\circ}+2 \tan ^{2} 45^{\circ} \) 6) \( 3\left(\tan 30^{\circ}\right)^{2}+\left(\sin 45^{\circ}\right)^{2} \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 7) \( \frac{\sin 45^{\circ}}{\cos 45^{\circ}}+\tan 45^{\circ} \) 8) \( \sqrt{3} \cos 30^{\circ}+\sqrt{2} \cos 45^{\circ}+\sqrt{2} \sin 45^{\circ} \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \)

มาดูผลลัพธ์กันเลยนะ! 1) \( \sin 60^{\circ}-\cos 30^{\circ} = \frac{\sqrt{3}}{2} - \frac{\sqrt{3}}{2} = 0 \) 2) \( \tan 30^{\circ}+\sin 60^{\circ}-\cos 30^{\circ} = \frac{1}{\sqrt{3}} + \frac{\sqrt{3}}{2} - \frac{\sqrt{3}}{2} = \frac{1}{\sqrt{3}} \) 3) \( 3 \sin 30^{\circ}-5 \cos 60^{\circ} = 3 \times \frac{1}{2} - 5 \times \frac{1}{2} = \frac{3}{2} - \frac{5}{2} = -1 \) 4) \( \sin 45^{\circ} \cos 45^{\circ}-\sin 30^{\circ} \cos 60^{\circ} = \frac{1}{2} - \frac{1}{2} = 0 \) 5) \( \tan ^{2} 60^{\circ}+2 \tan ^{2} 45^{\circ} = 3 + 2 \times 1 = 5 \) 6) \( 3\left(\tan 30^{\circ}\right)^{2}+\left(\sin 45^{\circ}\right)^{2} = 3 \times \frac{1}{3} + \left(\frac{1}{\sqrt{2}}\right)^{2} = 1 + \frac{1}{2} = \frac{3}{2} \) 7) \( \frac{\sin 45^{\circ}}{\cos 45^{\circ}}+\tan 45^{\circ} = 1 + 1 = 2 \) 8) \( \sqrt{3} \cos 30^{\circ}+\sqrt{2} \cos 45^{\circ}+\sqrt{2} \sin 45^{\circ} = \sqrt{3} \times \frac{\sqrt{3}}{2} + \sqrt{2} \times \frac{1}{\sqrt{2}} + \sqrt{2} \times \frac{1}{\sqrt{2}} = \frac{3}{2} + 1 + 1 = \frac{3}{2} + 2 = \frac{7}{2} \) ขอให้สนุกกับการคำนวณ!