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Apuntes

• Subtopic: Trigonometric Ratios of Notable Triangles In trigonometry, there are specific angles that are commonly used due to their simple and well-known trigonometric ratios. These angles are 30°, 60°, and 45°. Below are the trigonometric ratios for these notable angles: For the angle 30°: - $\sin 30° = \frac{1}{2}$ - $\cos 30° = \frac{\sqrt{3}}{2}$ - $\tan 30° = \frac{1}{\sqrt{3}}$ - $\cot 30° = \sqrt{3}$ - $\sec 30° = \frac{2}{\sqrt{3}}$ - $\csc 30° = 2$ For the angle 60°: - $\sin 60° = \frac{\sqrt{3}}{2}$ - $\cos 60° = \frac{1}{2}$ - $\tan 60° = \sqrt{3}$ - $\cot 60° = \frac{1}{\sqrt{3}}$ - $\sec 60° = 2$ - $\csc 60° = \frac{2}{\sqrt{3}}$ For the angle 45°: - $\sin 45° = \frac{\sqrt{2}}{2}$ - $\cos 45° = \frac{\sqrt{2}}{2}$ - $\tan 45° = 1$ - $\cot 45° = 1$ - $\sec 45° = \sqrt{2}$ - $\csc 45° = \sqrt{2}$ These ratios are fundamental in solving various trigonometric problems and are often memorized for quick reference.