AP Calculus Facts: trig
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32 terms
Terms | Definitions |
|---|---|
 sin(0) | √(0/4) = 0 |
| cos(0) | 1 |
| tan(0) | 0 |
| sin(30) sin(π/6) | √(1/4) = 1/2 |
| cos(30) cos(π/6) | (√3)/2 |
| tan(30) tan(π/6) | 1/(√3) |
| sin(45) sin(π/4) | (√2)/2 |
| cos(45) cos(π/4) | (√2)/2 |
| tan(45) tan(π/4) | 1 |
| sin(90) sin(π/2) | 1 |
| cos(90) cos(π/2) | 0 |
| tan(90) tan(π/2) | undefined |
| sinθ | opp/hyp |
| cosθ | adj/hyp |
| tanθ | opp/adj sinθ/cosθ |
| secθ | 1/cosθ |
| cscθ | 1/sinθ |
| cotθ | 1/tanθ cosθ/sinθ |
| Range of sin^(-1) | (-π/2)≤ sin^(-1)θ ≤ (π/2) |
| Range of cos^(-1) | 0 ≤ cos^(-1)θ ≤ π |
| Range of tan^(-1) | (-π/2)≤ tan^(-1)θ ≤ (π/2) |
| (sin x)(csc x) =1 Reciprocal identity | (sin x)(csc x) =1 |
| (cos x)(sec x) = 1 Reciprocal identity | (cos x)(sec x) = 1 |
| (tan x)(cot x) = 1 reciprocal identity | (tan x)(cot x) = 1 |
| sin 2x = (2 sin x)(cos x) | sin 2x = (2 sin x)(cos x) |
| cos 2x = (cos²x) - (sin²x) | cos 2x = (cos²x) - (sin²x) |
| cos 2x = (2 cos²x) -1 | cos 2x = (2 cos²x) -1 |
| (sin²x) + (cos²x) = 1 | (sin²x) + (cos²x) = 1 |
| 1 + tan²x = sec²x | 1 + tan²x = sec²x |
| 1 + cot²x = csc²x | 1 + cot²x = csc²x |
| (sin(angle))/(opposite side) = constant Law of Sines | (sin(angle))/(opposite side) = constant |
| a² = b² + c² - 2bc(cos A) Law of Cosines | a² = b² + c² - 2bc(cos A) |
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