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Trig notes
| Question | Answer |
|---|---|
| circumference of a circle | 2πr |
| arc length in degrees | s = θ/360 (2πr ) |
| arc length in radians | s = θr or θ=s/r |
| area of a sector in degrees | θ/360(πr^2) |
| area of a sector in radians | 1/2(θr^2) |
| angular speed(angle/time) | w=θ/time (rpm x 2π = radians/min) |
| linear speed(distance/time) | v = w x r |
| sin60° | √3/2 |
| cos30° | √3/2 |
| cos60° | 1/2 |
| tan60° | √3/1 |
| sin30° | 1/2 |
| tan30° | 1/√3 = √3/3 |
| sin45° | √2/2 |
| cos45° | √2/2 |
| tan45° | 1 |
| unit circle equation | x^2 + y^2 = 1 |
| tanθ = ?/? | tanθ = sinθ/cosθ |
| cotθ = ?/? | cotθ = cosθ/sinθ |
| sin^2θ + cos^2θ = ? | sin^2θ + cos^2θ = 1 |
| 1 + tan^2θ = ? | 1 + tan^2θ = sec^2θ |
| 1 + cot^2θ = ? | 1 + cot^2θ = csc^2θ |
| area of a triangle | 1/2(a)(b)(sinθ) |
| height of a triangle | a(sinθ) |
| if y=a(cos or sin)(k(x-b))+c, a = ? | amplitude |
| if y=a(cos or sin)(k(x-b))+c, k = ? | period |
| if y=a(cos or sin)(k(x-b))+c, b = ? | phase shift |
| if y=a(cos or sin)(k(x-b))+c, c = ? | vertical shift |
| period for sin(x) = y =? | 2π |
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