Trigonometry formulae

sin(3θ)

3sin(θ) − 4sin³(θ)

cos(3θ)

4cos³(θ) − 3cos(θ)

tan(3θ)

(3tan(θ) − tan³(θ)) / (1 − 3tan²(θ))

tan(θ)

1-cosθ / sinθ

tan(A + B)

(tan A + tan B) / (1 − tan A tan B)

sin(A + B)·sin(A − B)

sin²(A) − sin²(B)

cos(A + B)cos(A - B)

cos²(A) − sin²(B)

1 + cos(θ)

2cos²(θ / 2)

1 − cos(θ)

2sin²(θ / 2)

1 + sin(θ)

[(cos(θ)/2 + sin(θ)/2)]²

1 − sin(θ)

[(cos(θ)/2 − sin(θ)/2)]²

sin(A + B);sin(A − B)

sinAcosB + cosAsinB; sinAcosB − cosAsinB

cos(A + B), cos(A − B)

cosAcosB − sinAsinB, cosAcosB + sinAsinB

cos(A)cos(B)

½[cos(A + B) + cos(A − B)]

sin(A)sin(B)

½[cos(A − B) − cos(A + B)]

sin(A)cos(B)

½[sin(A + B) + sin(A − B)]

sin(A) + sin(B)

2sin((A + B)/2)cos((A − B)/2)

sin(A) − sin(B)

2cos((A + B)/2)sin((A − B)/2)

cos(A) + cos(B)

2cos((A + B)/2)cos((A − B)/2)

cos(A) − cos(B)

−2sin((A + B)/2)sin((A − B)/2)

sin(2θ)

2sin(θ)cos(θ)

cos(2θ)

cos²(θ) − sin²(θ)

tan(2θ)

(2tan(θ)) / (1 − tan²(θ))

sin⁡(18∘)

cos⁡(36∘)