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Math 108- Spring 13
| Question | Answer |
|---|---|
| Degrees to Radians | piRAD/ 180 DEG |
| Linear velocity | LV=AVxR |
| Arc Length | S= Rx @ |
| Angular Velocity | ^D/^T |
| Period (Sin waves) | 2pi/B |
| Phase Shift (Sin waves) | C/B |
| Frequency (Sin waves) | 1/period |
| Sinusoid Equation | y=D+Asin(Bx-C) |
| Vertical Displacement | D |
| Amplitude | A |
| tan | opposite/adjacent |
| sin | opposite/hypotenuse |
| cos | adjacent/hypotenuse |
| cot | 1/tan |
| csc | 1/sin |
| sec | 1/cos |
| tan(60) | rt3 |
| cos(60) | 1/2 |
| sin(60) | rt3/2 |
| tan(45) | 1 |
| sin(45) | rt2/2 |
| cos(45) | rt2/2 |
| tan(30) | 1/rt3 |
| sin(30) | 1/2 |
| cos(30) | rt3/2 |
| Law of Sines | sinA/a=sinB/b=sinC/c |
| Ambiguous case | ASS, 0, 1, 2 triangles |
| Law of Cosines | a^2=b^2+c^2-2(b)(c)cos(A) |
| sin@^2+cos@^2= | 1 |
| -tan@= | tan(-@) |
| -cot@= | cot(-@) |
| -sin@= | sin(-@) |
| -csc@= | csc(-@) |
| cos@= | cos(-@) |
| sec@= | sec(-@) |
| cos(A-B)= | cosAcosB+sinAsinB |
| cos(A+B)= | cosAcosB-sinAsinB |
| sin(A+B)= | sinAcosB+cosAsinB |
| sin(A-B)= | sinAcosB-cosAsinB |
| tan(A+B)= | tanA+tanB/1-tanAtanB |
| tan(A-B)= | tanA-tanB/1+tanAtanB |
| sin(2@)= | 2sin@cos@ |
| cos(2@)= | cos^2@-sin^2@ or 2cos^2@-1 or 1-sin^2@ |
| tan(2@)= | 2tan@/1-tan^2@ |
| cos(@/2)= | rt(1+cos@/2) |
| sin(@/2)= | rt(1-cos@/2) |
| tan(@/2)= | rt(1-cos@/1+cos@) or 1-cos@/sin@ or sin@/1+cos@ |
| tan@= | sin@/cos@ |
| x-component (Vector) | xcos@ |
| y-component (Vector) | ysin@ |