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Trig Facts
Trigonometry facts to memorize for first term Calculus
| Question | Answer |
|---|---|
| csc(x) | 1/sin(x) |
| sec(x) | 1/cos(x) |
| cot(x) | 1/tan(x) |
| 1/sin(x) | csc(x) |
| 1/cos(x) | sec(x) |
| 1/tan(x) | cot(x) |
| y=sin(x) crosses the x-axis where? | 0, π and 2π |
| y=cos(x) crosses the x-axis where? | π/2 and 3π/2 |
| y=tan(x) crosses the x-axis where? | 0 |
| tan(x) | sin(x)/cos(x) |
| sin(x)/cos(x) | tan(x) |
| cot(x) | cos(x)/sin(x) |
| cos(x)/sin(x) | cot(x) |
| 1 | cos²(x) + sin²(x) |
| 1 + tan²(x) | sec²(x) |
| sec²(x) | 1 + tan²(x) |
| cos²(x) + sin²(x) | 1 |
| cot²(x) + 1 | csc²(x) |
| csc²(x) | cot²(x) + 1 |
| sin(A+B) | sin(A)cos(B) + cos(A)sin(B) |
| cos(A+B) | cos(A)cos(B) - sin(A)sin(B) |
| lim sin(x)/x as x->0 | 1 |
| lim tan(x)/x as x->0 | 1 |
| lim cos(x)/x as x->0 | from the right: ∞ from the left: -∞ |
| lim (1-cos(x))/x as x->0 | 0 |
Created by:
cawil
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