Trignometry

π/3

60

π/4

45

π/6

30

2π/3

120

3π/4

135

5π/6

150

7π/6

210

5π/4

225

4π/3

240

5π/3

300

7π/4

315

11π/6

330

cos(π/6)

√3/2

cos(π/4)

√2/2

cos(π/3)

1/2

cos(3π/2)

0

sin(π/6)

1/2

sin(π/4)

√2/2

sin(π/3)

√3/2

sin(a+b)

sinAcosB+cosAsinB

sin(a-b)

sinAcosB-cosAsinB

cos(a+b)

cosAcosB-sinAsinB

cos(a-b)

cosAcosB+sinAsinB

tan(a+b)

tanA+tanB/1-tanAtanB

tan(a-b)

tanA-tanB/1+tanAtanB

sin2x

2sinxcosx

cos2x

cos^2x - sin^2x

cos2x (sin variant)

1 - 2sin^2x

cos2x (cos variant)

2cos^2x - 1

tan2x

2tanx/1-tan^2x

tan(π/4)

1

tan(π/3)

√3

tan(π/6)

√3/3

tan(π)

0

tan(π/2) and tan(3(π)/2)

undefined

cos(π)

-1

sin(π)

0

sin(π/2)

1

sin(3π/2)

-1

cos(π/2)

0

csc(π/3)

2√3/3

csc(π/4)

√2

csc(π/6)

2

csc(π)

undefined

csc(π/2)

1

csc(3π/2)

-1

sec(π/3)

2

sec(π/4)

√2

sec(π/6)

2√3/3

sec(π/2)

undefined

sec(3π/2)

undefined

sec(π)

-1

cot(π/3)

√3/3

cot(π/4)

1

cot(π/6)

√3

cot(π)

undefined

cot(3π/2)

undefined

cot(π/2)

undefined

cot(π/2 + x)

-tanx

cot(π/2 - x)

tanx

sec(π/2 + x)

-cscx

sec(π/2 - x)

cscx

csc(π/2 + x)

secx

csc(π/2 - x)

secx

sin(π/2 - x)

cosx

sin(π/2 + x)

cosx

cos(π/2 + x)

-sinx

cos(π/2 - x)

sinx

tan(π/2 - x)

cotx

tan(π/2 + x)

-cotx

cos(-x)

cosx

sin(-x)

-sinx

RATIO(3pi/2 +- x)

- look to see if it will be negative or positive in the third or fourth quadrant (depending on the sign)

- then put that operation and apply it to the start of the angle and make it ANGLE(pi/2 +- x)

- then convert this to the angle

sec^2x

1+tan^2x

tan^2x

sec^2x-1

d/dx( cotx )

-csc²x

d/dx( secx )

secxtanx

d/dx( cscx )

-cscxcotx

d/dx( cosh(x) )

sinh(x)

d/dx( sinh(x) )

cosh(x)

sin(A/2)

cos(A/2)

tan(A/2)