For example, how to simplify trigonometric functions such as Tan (α - 3 π) and sin (α - 3 π)

For example, how to simplify trigonometric functions such as Tan (α - 3 π) and sin (α - 3 π)

Using the formula
tan(A-B)=(tanA-tanB)/(1+tanAtanB)
sin(A-B)=sinAcosB-sinBcosA