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26 Cards in this Set

  • Front
  • Back
1 revolution
2π radians
180 degrees
π radians
1 degree
π/180
1 radian
180/π

Sin t

Y- coordinate

Cos t

X- coordinate

Tan t

y/x coordinate

csc t

1/y coordinate

sec t

1/x coordinate

cot t

x/y coordinate

Area of a sector of a circle

Linear speed

Angular speed

Relationship between linear speed and angular speed

For the Angle theta in standard position, let P= (x,y) be the point on the terminal side of theta that is also on the circle x^2+y^2=r^2


How to get R for the equations previously stated

Amplitude, Period, Phase Shift and Frequency


(Sine and Cosine)

y = A sin(Bx - C) + D

Amplitude

A

Period

2pi/B

Phase Shift

C/B

Shift phase when C is positive

-C/B

Vertical Shift

D

Trig Circle Signs

pythagorean identities

sin^2(x) + cos^2(x) = 1


tan^2(x) + 1 = sec^2(x)


cot^2(x) + 1 = csc^2(x)

Even-odd functions

sin(-x) = -sin(x)


csc(-x) = -csc(x)


cos(-x) = cos(x)


sec(-x) = sec(x)


tan(-x) = -tan(x)


cot(-x) = -cot(x)

Just for fun


Unit Circle Game

http://www.mathwarehouse.com/unit-circle/unit-circle-game.php