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

The answer to whether sin(x)+sin(y)=2sin((x+y)/2)cos((x-y)/2) is True

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

prove

sin (x) + sin (y) = 2 sin (\frac{x + y}{2}) cos (\frac{x - y}{2})

True

Solution steps

sin (x) + sin (y) = 2 sin (\frac{x + y}{2}) cos (\frac{x - y}{2})

Use the Sum to Product identity:

sin (s) + sin (t) = 2 sin (\frac{s + t}{2}) cos (\frac{s - t}{2})

\Rightarrow True

sec^{2} (θ) - 2 tan (θ) = (tan (θ) - 1)^{2}

\frac{1}{csc ( x )} + 1 = sin (x) + 1

25 sin^{2} (x) + 25 cos^{2} (x) = 25

cot (x) sin (x) sec (x) = 1

\frac{1}{1 - cos ( x )} - \frac{1}{1 + cos ( x )} = 2 cot (x) csc (x)

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