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MTH 123- Exam 1
| Term | Definition |
|---|---|
| 2√3/3 | 1.154 |
| √3 | 1.732 |
| √2 | 1.414 |
| √2/2 | 0.707 |
| √3/2 | 0.866 |
| √3/3 | 0.577 |
| Pythagorean identity | cos^2(x) + sin^2(x)= 1 |
| Cosine | the x-coordinate of the terminating point of arc t |
| Sine | the y-coordinate of the terminating point of arc t |
| Circumference of the unit circle | 2π |
| Convert radians to degrees | multiply by 180 degrees/π radians |
| Convert degrees to radians | multiply by π radians/180 degrees |
| Find arc length | circumference (2πr) x fraction of circle |
| Linear velocity (in radians) | v=arc length/ time or rθ/t |
| Angular velocity (in radians) | ω=θ/t |
| Reference arc t hat | smallest non-negative between the terminal point of the arc t and the closest of the 2 x-intercepts of the unit circle |
| Tangent function, domain, range, and period | sin x()/ cos(x), all x not equal to π/2 + kπ, (-∞,∞), π |
| Secant function, domain, range, and period | 1/cos(x), all x not equal to π/2 + kπ, sec(x)≤-1 or sec(x) ≥1, 2π |
| Cosecant function, domain, range, and period | 1/sin(x), all x not equal to kπ, csc(x)≤-1 or csc(x) ≥1, 2π |
| Cotangent function, domain, range, and period | cos(x)/sin(x), all x not equal to kπ, (-∞,∞), π |
| Find the period of a function | pure property/coefficient of x |
| Domain, range, and period of sine and cosine | (-∞,∞), [-1,1}, 2π |
Created by:
kkade
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