Is sin(x)cos(y)+sin(y)cos(x)=sin(x+y) ?

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

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prove sin(x)cos(y)+sin(y)cos(x)=sin(x+y)

prove

sin (x) cos (y) + sin (y) cos (x) = sin (x + y)

True

Solution steps

sin (x) cos (y) + sin (y) cos (x) = sin (x + y)

Use the Angle Sum identity:

sin (s) cos (t) + cos (s) sin (t) = sin (s + t)

\Rightarrow True

\frac{csc ^{2} ( x )}{sec ^{2} ( x )} = cot^{2} (x)

tan (A + B) + tan (A - B) = \frac{( 2 sin ( 2 A ) )}{( cos ( 2 A ) + cos ( 2 B ) )}

cos (3 θ) = 4 cos^{3} (θ) - cos (θ)

cos^{2} (b) + cos^{2} (\frac{π}{2} - b) = 1

sec (x) - (sin (x)) (tan (x)) = cos (x)

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