Symbol needed: θ a = α b = β
sin²(θ)+cos²(θ)=
1
tan²(θ)+1=
sec²(θ)
tan²(θ)=
sec²(θ)-1
sin(a+b)=
sin(a)cos(b)+cos(a)sin(b)
cos(a+b)=
cos(a)cos(b)-sin(a)sin(b)
sin(2a)=
2sin(a)cos(a)
cos(2a)=
cos²(a)-sin²(a)
sin²(θ)=
1/2(1-cos(2θ))
cos²(θ)=
1/2(1+cos(2θ))