Trig Identities

Sin

100

CSC=

1/Sin

200

Tan/Cos=

Sin

300

1-cos²x=

Sin²x

400

Sin30=

Sin60=

Sin45=

1/2

√3/2

√2/2 or 1/√2

500

Find Solution over interval [0,2π)

2SinxCosx=√3Sinx

Sinx=0 (180°,0°)

Cosx=√3/2 (30°, 330°)

Cos

100

Sec=

1/Cos

200

CotSin=

Cos

300

Cos(A-B)=

cosAcosB+sinAsinB

400

cos^-1(√3/2)=

30^o

500

1-sin²x=

cos²x

Tan

100

Cot= 

1/Tan or Cosx/Sinx

200

Tan(A+B)=

tanA+tanB/1-tanAtanB

300

Tanx=

1/cotx

400

tan30

tan45

tan60

√3/3

1

√3

500

2tan165/1-tan²165=

tan330=-√3/3

Double Angle

100

Formula for Sin2x

2sinxcosx

200

tan2θ=

2tanθ/1-tan²

300

sin2θ=

2sinθcosθ

400

Formulas For Cos2x

Cos²x-Sin²x

1-2sin²x

2Cos²x-1

500

Verify the identity, show work

cos2x+sin²x/1-sin²x=1

1-2sin²x+sin²x/1-sin²x=1

1-sin²x/1-sin²x=1

1=1

Super Hard Math

100

was pythagoras dummy thicc

ye

200

How much wood could a woodchuck chuck if a woodchuck could chuck wood

As much wood as a woodchuck could chuck if a woodchuck could chuck wood

300

how many licks would it take to get to the tootsie roll center of a tootsie pop?

the world may never know

400

Sin30

1/2

500

Pythagorean Identities

sin²x+cos²x=1

tan²x+1=sec²x

cot²x+1=csc²x