Trigonometry and the Unit Circle

The video tutorial covers the basics of trigonometry, including the study of angles and the relationships between angles and sides of triangles. It explains the three basic trigonometric functions: sine, cosine, and tangent, and introduces the mnemonic SOHCAHTOA. The tutorial also discusses reciprocal and quotient identities, the unit circle, and how trigonometric functions can be extended to negative angles and angles larger than 90 degrees. It highlights the importance of understanding the signs of functions in different quadrants using the ASTC mnemonic.

What is the study of angles and the relationships between angles and sides of triangles called?

What are the three basic functions in trigonometry?

Describe the SOHCAHTOA mnemonic and its relevance in trigonometry.

What are the reciprocal ratios of sine, cosine, and tangent?

Explain the significance of the unit circle in trigonometry.

What is the relationship between sine, cosine, and tangent in terms of the unit circle?

How do the signs of trigonometric functions vary in different quadrants?