Prove that cos2 -cos 2 - - sin2 - - sin2- - - - cos 2 - - -

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General Solution of Trigonometric Equation

Prove that ...

Question

Prove that $cos 2 α cos 2 β + {sin}^{2} (α - β) - {sin}^{2} (α + β) = cos 2 (α + β)$ .

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{sin}^{2} α + {cos}^{2} (α + β) + 2 sin α . sin β cos (α + β) =

tan (α + β) + tan (α - β) = \frac{sin 2 α}{1 - {sin}^{2} α - {sin}^{2} β}

s i n^{2} α + c o s^{2} (α + β) + 2 s i n α s i n β c o s (α + β)

\frac{sin 2 α + sin 2 β}{cos 2 α - cos β} = cot (β - α)

c o s^{2} (α + β) + c o s^{2} (α - β) - c o s 2 α c o s 2 β

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