Uttrycket asinx+bcosx

\[  a\sin(\alpha) + b\cos(\alpha) = \left( \sqrt {a^2+b^2} \right)\sin(\alpha + x) \]

\[  a\sin(\alpha) - b\cos(\alpha) = \left( \sqrt {a^2+b^2} \right) \sin(\alpha - x) \]

Detta gäller då:

\[ a  > 0\]

\[ b >  0\]

\[ \tan(x) = \frac{b}{a} \]

\[0^\circ < x < 90^\circ \]