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· 2 identities
Power Reduction
Lowering the power of squared sine and cosine using double-angle identities.
sin² θ
sin
2
θ
=
1
−
cos
2
θ
2
\sin^{2}\theta = \dfrac{1 - \cos 2\theta}{2}
sin
2
θ
=
2
1
−
cos
2
θ
Open identity
cos² θ
cos
2
θ
=
1
+
cos
2
θ
2
\cos^{2}\theta = \dfrac{1 + \cos 2\theta}{2}
cos
2
θ
=
2
1
+
cos
2
θ
Open identity