Sudut Istimewa

Sudut Istimewa
	$$0^{\circ}$$	$$30^{\circ}$$	$$45^{\circ}$$	$$60^{\circ}$$	$$90^{\circ}$$
sin	$$0$$	$$\dfrac{1}{2}$$	$$\dfrac{1}{2}\sqrt{2}$$	$$\dfrac{1}{2}\sqrt{3}$$	$$1$$
cos	$$1$$	$$\dfrac{1}{2}\sqrt{3}$$	$$\dfrac{1}{2}\sqrt{2}$$	$$\dfrac{1}{2}$$	$$0$$
tan	$$0$$	$$\dfrac{1}{3}\sqrt{3}$$	$$1$$	$$\sqrt{3}$$	$$\infty$$
csc	$$\infty$$	$$2$$	$$\sqrt{2}$$	$$\dfrac{2}{3}\sqrt{3}$$	$$1$$
sec	$$1$$	$$\dfrac{2}{3}\sqrt{3}$$	$$\sqrt{2}$$	$$2$$	$$\infty$$
cot	$$\infty$$	$$\sqrt{3}$$	$$1$$	$$\dfrac{1}{3}\sqrt{3}$$	$$0$$

Contoh Soal

  Contoh 1 Tentukan nilai dari \(\dfrac{\sin 45^{\circ}\cdot \cos 30^{\circ} + \cos 45^{\circ}\cdot \sin 30^{\circ}}{\tan 60^{\circ}}\)  

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Contoh 2 Tentukan nilai dari \(\dfrac{\cot 45^{\circ} + \sec 60^{\circ}}{\csc 45^{\circ}}\)  

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Contoh 3 Tentukan nilai dari \(\dfrac{\tan \frac{\pi}{6} + \tan \frac{\pi}{4}}{1\:-\:\tan \frac{\pi}{6}\cdot \tan \frac{\pi}{4}}\)  

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Contoh 4 Tentukan nilai dari \(\dfrac{\csc \frac{\pi}{2}\cdot \tan \frac{\pi}{4}\:-\:\sec \frac{\pi}{3}\cdot \cot \frac{\pi}{6} }{\sin \frac{\pi}{6}}\)  

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Contoh 5 Manakah pernyataan di bawah ini yang benar?

1. \(\sin 45^{\circ} = \cos 45^{\circ}\)
2. \(\csc 45^{\circ} \neq \sec 45^{\circ}\)
3. \(\tan 60^{\circ} \neq \cot 30^{\circ}\)
4. \(\sin 90^{\circ} > \cos 0^{\circ}\)
5. \(\csc 30^{\circ} < \sec 45^{\circ}\)