University:
Ontario Tech University
Course:
PHY 1010 | Physics I
Academic year:

2024
Views:

80

Pages:

6
Author:

Avneet S.

**Formula Sheet** **Trigonometry** * **SOH CAH TOA** * **Pythagorean Theorem:** a² + b² = c² * **Area of a Triangle:** 1/2 * base * height * **Sine Rule:** a/sin A = b/sin B = c/sin C * **Cosine Rule:** a² = b² + c² - 2bc cos A * **Tangent Rule:** tan A = sin A / cos A * **Sine Rule (Area):** Area = 1/2 * ab * sin C **Special Triangles:** * **30-60-90 Triangle:** * Sides: x, √3x, 2x * **45-45-90 Triangle:** * Sides: x, x, √2x **Trigonometric Identities:** * sin²θ + cos²θ = 1 * tan²θ + 1 = sec²θ * cot²θ + 1 = cosec²θ **Note:** * Remember the values of special angles like 0°, 30°, 45°, 60°, and 90°. * Use the SOH CAH TOA mnemonic to remember the trigonometric ratios. * Practice using these formulas to solve various trigonometric problems. Velocity Time for Uniform Motion Slope of the graph: Represents the velocity Slope = distance/time Area under the graph represents the distance traveled. Velocity Time Graph for Uniformly Accelerated Motion Velocity-time graph: Straight line with a positive slope Slope represents the acceleration Area under the graph represents the distance traveled. Acceleration Time Graph Graph: Horizontal line Represents constant acceleration Chain Rule Formula: d/dx [f(g(x))] = f'(g(x)) * g'(x) Example: d/dx (x^2 + 3)^4 = 4(x^2 + 3)^3 * 2x