Is sin(x+y)sin(x-y)=sin(2x)-sin(2y) ?

The answer to whether sin(x+y)sin(x-y)=sin(2x)-sin(2y) is False

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prove sin(x+y)sin(x-y)=sin(2x)-sin(2y)

prove

sin (x + y) sin (x - y) = sin (2 x) - sin (2 y)

False

Solution steps

sin (x + y) sin (x - y) = sin (2 x) - sin (2 y)

Show that the two sides are not equal

\Rightarrow False

csc^{2} (x) = 1 - cot^{2} (x)

cos^{2} (θ) = 1 + sin^{2} (θ)

tan^{2} (x) csc^{2} (x) = tan^{2} (x) + 1

sin (\frac{5 π}{6}) = \frac{1}{2}

(1 + cos (α)) (1 - cos (α)) = sin^{2} (α)

Is sin(x+y)sin(x-y)=sin(2x)-sin(2y) ?
The answer to whether sin(x+y)sin(x-y)=sin(2x)-sin(2y) is False