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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@ |