If cos - - - - x and sin - - - - y- then prove that cos2 - - - - 2xy sin - - - - x2 - y2

Write #160; α #160; β #160; = (θ #160; β ) (θ #160; α ) #160; cos (α #160; β #160; ) #160; = x √( ...

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Trigonometric Ratios for Sum of Two Angles

If cos θ - ...

Question

If cos $(θ - α)$ = x and sin $(θ - β)$ = y, then prove that
$c o s^{2} (α - β) + 2 x y s i n (α - β) = x^{2} + y^{2}$

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