trig proof identities

sin θ =

1/cscθ

csc θ =

1/sinθ

cos θ =

1/secθ

sec θ =

1/cos θ

tan θ =

1/cot θ

or

sinθ/cosθ

cot θ =

1/tan θ

or 

cosθ/sinθ

sin² θ = 

1/csc²θ

cos²θ

1/sec²θ

tan²θ =

1/cot²θ

or

sin²θ/cos²θ

csc²θ = 

1/sin²θ

sec²θ =

1/cos²θ

cot²θ =

1/tan²θ

or
cos²θ/sin²θ

cos²θ + sin²θ = 

1

1 - sin²θ =

cos²θ

1-cos²θ =

sin²θ

tan²θ + 1 =

sec²θ

sec²θ - tan²θ =

1

sec²θ - 1

tan²θ

csc²θ

1 + cot²θ

csc²θ-1

cot²θ

( )() means to what

multiply

4x^4 + 2x^4 means to do what

factor

x² + 5x + 6 how to start solving

factor

1 fraction with a monomial on the bottom means to do what

split fraction into two, will have a common denominator

a fraction with a binomial on the bottom

conjugate (multiply numerator and denominator by same value)

what to do with squares

use Pythagorean identities

change all sin and cos means what

there will be pythagorean identities or just common denominators

two fractions means to do what

make common denominators