back to table of contents
intro to sohcahtoa
summary
the essence of trigonometry within the sat exam context is deeply rooted in the understanding of similar triangles, specifically right triangles, and the application of the sohcahtoa mnemonic to solve problems.
- trigonometry is fundamentally based on the properties of similar triangles, emphasizing the importance of proportional sides and equal angles.
- sohcahtoa represents the three primary trigonometric ratios: sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent), crucial for solving right triangle problems.
- understanding and applying these ratios enables the calculation of unknown triangle sides or angles, given minimal initial data.
- the pythagorean identity (cosine squared theta plus sine squared theta equals 1) is a pivotal formula in trigonometry, extending the application of sohcahtoa.
- practice problems within the content illustrate the practical application of trigonometric principles and the use of calculators for solving trigonometry-related questions.
chapters
00:00
introduction to trigonometry and similar triangles
02:11
understanding sohcahtoa
03:36
applying trigonometric ratios
08:49
the pythagorean identity
