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Trig Final
| Question | Answer |
|---|---|
| Define the subset of the real numbers: N | Natural numbers (Counting numbers) {1,2,3,4...} |
| Define the subset of the real numbers: Z | Intergers (Whole numbers and their negatives) {-3,-2,-1,0,1,2,3....} |
| Define the subset of the real numbers: Q | Rational numbers. (expressed as a fraction) a/b, both are intergers and b ≠ 0 |
| Define the subset of the real numbers: irrational numbers | Cannot be written as a fraction. non terminating and non repeating. π , e, √2 |
| Trig functions: sinϴ | opp/hyp |
| Trig functions: cosϴ | adj/hyp |
| Trig functions: tanϴ | opp/adj |
| Trig functions: secϴ | 1/cosϴ |
| Trig functions: cscϴ | 1/sinϴ |
| Trig functions: cotϴ | 1/tanϴ |
| Tangent and Cotangent Identities: tanϴ | sinϴ/cosϴ |
| Tangent and Cotangent Identities: cotϴ | cosϴ/sinϴ |
| Law of Sines | Sin(A)/a = Sin(B)/b = Sin(C)/c |
| Law of Cosines: C² | =a²+b²-2ab(cos(C)) |
| Law of Cosines: B² | =a²+c²-2ac(cos(B)) |
| Law of Cosines: A² | =b²+c²-2bc(cos(A)) |
| When to use the Law of Cosines | When given a SSS or SAS triangle |
| When to use the Law of Sines | When given a AAS or ASA Triangle |