Fundamental Trigonometric Relationships
This section presents the core trigonometric identities and demonstrates their proofs.
Key relationships covered:
- sin^2 x + cos^2 x = 1
- tan x = sin x / cos x
- 1 + tan^2 x = 1 / cos^2 x
Definition: Trigonometric identity - An equation involving trigonometric functions that is true for all values of the variables.
Example: Proof of sin^2 x + cos^2 x = 1 using the Pythagorean theorem in a right triangle.
The page also includes a table of trigonometric ratios for common angles 0°,30°,45°,60°,90°, which is essential for solving many trigonometry problems.