equivalent reps of trig funcs 🤦🏻‍♀️

topic 3.12

sin²θ + cos²θ =

1

tan²θ + 1 =

sec²θ

1 + cot²θ =

csc²θ

sin²θ =

1 - cos²θ → (1 - cosθ) (1 + cosθ)

tan²θ =

sec²θ - 1

cot²θ =

csc²θ - 1

cos²θ =

1 - sin²θ → (1 - sinθ) (1 + sinθ)

sin(x + y) =

sinxcosy + cosxsiny

sin(x - y) =

sinxcosy - cosxsiny

cos(x + y) =

cosxcosy - sinxsiny

cos(x - y) =

cosxcosy + sinxsiny

sin(2θ) =

2sinθcosθ

cos(2θ) =

cos²θ - sin²θ

1 - 2sin²θ

2cos²θ - 1

three trig identities

sin²θ + cos²θ = 1

tan²θ + 1 = sec²θ

1 + cot²θ = csc²θ

sin²θ + cos²θ = 1

sin²θ = 1 - cos²θ → (1 - cosθ)(1 +cosθ)

cos²θ = 1 - sin²θ → (1 - sinθ)(1 + sinθ)

1 + cot²θ = csc²θ

cot²θ = csc²θ - 1