Category:Auxiliary Angles

This category contains results about Auxiliary Angles.

Consider the expression:

$(1): \quad p \sin x + q \cos x$

where $x \in \R$.

Let $(1)$ be expressed in the form:

$(2): \quad R \map \cos {x + \alpha}$

or:

$(3): \quad R \map \sin {x + \alpha}$

The angle $\alpha$ is known as the auxiliary angle of either $(2)$ or $(3)$ as appropriate.